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mathematics
basic technical mathematics

Questions and Answers of Basic Technical Mathematics

Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. 合
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. Then use a calculator to verify the result. 5/810-
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. Then verify the result with a calculator.(√11 + √6)(√11 − 2√6)
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. √T4 - V4 √√V-2 - T-2
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. 后
Find the exact sum of the positive roots of x2 − 2x − 2 = 0 and x2 + 2x − 11 = 0.
Simplify the given expressions. Express all answers with positive exponents.(a3 )−4/3 + a−2
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. Then use a calculator to verify the result. 23/16 -
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. √a + √a-2 √a √a-2
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.3√81a7b−3
Express each of the given expressions in simplest form with only positive exponents.2(3−3 − 9−1)−2
Simplify the given expressions. Express all answers with positive exponents.(a−2 − a−4)−1/4
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. √√640 +√5
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.4√8m6n9
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. Then use a calculator to verify the result. √²-2√√² +5√√56
Perform the indicated operations and express the result in simplest radical form with rationalized denominators. 63 8V
Express each of the given expressions in simplest form with only positive exponents.(n−2 − 2n−1)2
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. √1 + a √I-a a-
Simplify the given expressions. Express all answers with positive exponents.(T−1 + 2T−2)−1/2
Simplify the given expressions. Express all answers with positive exponents. 3-1a1/2 91/2a-1/3 4-1/2 b 26-1/4
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator.
Perform the indicated operations and express the result in simplest radical form with rationalized denominators. ငြင် 8 V 27
Express each of the given expressions in simplest form with only positive exponents.6−2(2a − b−2)−1
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. √x + y √x - y = √x
Express each of the given expressions in simplest form with only positive exponents. (R¹ + R₂¹)-¹
Perform the indicated operations and express the result in simplest radical form with rationalized denominators. За 5x
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. Then use a calculator to verify the result. 3 2√3+√√24 - 5√2
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. (3+√6-7a)(2 - √6 - 7a)
Simplify the given expressions. Express all answers with positive exponents. y 3/8 (y 5/8 - y13/8) y/2 (yl/2-y-1/2)
Perform the indicated operations and express the result in simplest radical form with rationalized denominators. 5 √2s
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. R R (長+)(辰-2周) R R
Simplify the given expressions. Express all answers with positive exponents. (x + x¹/²)(x - x1/2) X
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator.6√b3c4
Simplify the given expressions. Express all answers with positive exponents. 글(4.x2 + 1)-12(8x)
Express each of the given expressions in simplest form with only positive exponents.5 × 8−2 − 3−1 × 23
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. Then use a calculator to verify the result.2√40 + 3√90 − 5√250
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. 3√5 √173√5 + √17 -
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator.4√9y2
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. √16 × 105
Simplify the given expressions. Express all answers with positive exponents. 4a5/6b-1/5-1/2 a²/36²
Express each of the given expressions in simplest form with only positive exponents.2 × 3−1 + 4 × 3−2
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. Then use a calculator to verify the result.3√45 + 3√75 − 2√500
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. √4 x 106
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. 3√ √50y75-√8y 12 -
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.√52L2C−5
Simplify the given expressions. Express all answers with positive exponents. 25/7/7/4 2/3 a
Express each of the given expressions in simplest form with only positive exponents.3(a−1z 2)−3 + c−2z−1
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. (3/6 – √/5)(3/6 + √5)
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. √4 x 105
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. √4x + 8 + 2√9x + 18
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.√84st3u−2
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. √5c + 3d √5c - d
Express each of the given expressions in simplest form with only positive exponents.3a−2 + (3a−2)4
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. √4 x 104
Express each of the given expressions in simplest form with only positive exponents. abla -2 -3 b2 312
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. 6√x √x - √5
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. 16 X + 8 + x X
Express each of the given expressions in simplest form with only positive exponents. -3 ()()
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.√8x5y2
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. T-V VT + V T + V VT - V
Simplify the given expressions. Express all answers with positive exponents.(32C5D4)−2/5
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.√9a3b4
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. 2xy-1 3 + 27x-ly 8
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. √15 - 3√5 2√15 - √5
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. Vab-1 38a-2b²
Simplify the given expressions. Express all answers with positive exponents.(16a4b3)−3/4
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator.9√−27
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. 2√3 - 5√5 √3+2√5
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.√x3y4z6
Express each of the given expressions in simplest form with only positive exponents.(2np−2)−2 (4−1p2)−1
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. 14x V21y 27 y 8x
Simplify the given expressions. Express all answers with positive exponents.(8b−4c2)4/3
Simplify the given expressions. Express all answers with positive exponents. 2 R-2/5 R² R-3/10
Express each of the given expressions in simplest form with only positive exponents. ³ ()()
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator.6√64
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. - 3 √15 + 4 2√15
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.√ab5c2
Express each of the given expressions in simplest form with only positive exponents. (7 × 3-^)(3-²) ²
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. a CS - C 3 a
Simplify the given expressions. Express all answers with positive exponents. x 3/10 x-1/5x2
Simplify the given expressions. Express all answers with positive exponents.(8a3b6)1/3
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator.8√81
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.√96
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. √√2-1 √7-3√2
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. √32a6b4+3a/243ab⁹
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. 5 V256
Express each of the given expressions in simplest form with only positive exponents. 3 (2a-2a
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. 6/25 5-6√5
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator.4√400
Simplify the given expressions. Express all answers with positive exponents. 58-1 {/2 S +/1 S 13
Perform the indicated operations and express the result in simplest radical form with rationalized denominators.√60
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator.
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. √/24a²b43√/3a³b
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. 1 √7 + √3
Simplify the given expressions. Express all answers with positive exponents. 4y-1/2 y ²2/5
Express each expression in simplest form with only positive exponents.4(1 − T2)1/2 − (1 − T2)−1/2
Express each of the given expressions in simplest form with only positive exponents.(3x − 2y)−2
Express each radical in simplest form, rationalize denominators, and perform the indicated operations. 3√60b²n b√135n
Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. 2 125
Perform the indicated operations, expressing answers in simplest form with rationalized denominators. √√643/16

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