Use contradiction to show that 3 is irrational.
Question:
Use contradiction to show that √3 is irrational.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
Assume that 3 is rational p That is 3 mn where m and n are integers that ...View the full answer
Answered By
Rustia Melrod
I am a retired teacher with 6 years of experience teaching various science subjects to high school students and undergraduate students. This background enables me to be able to help tutor students who are struggling with the science of business component of their education. Teaching difficult subjects has definitely taught me patience. There is no greater joy for me than to patiently guide a student to the correct answer. When a student has that "aha!" moment, all my efforts are worth it.
The Common Core standards are a useful yardstick for measuring how well students are doing. My students consistently met or exceeded the Common Core standards for science. I believe in working with each student's individual learning styles to help them understand the material. If students were struggling with a concept, I would figure out a different way to teach or apply that concept. I was voted Teacher of the Year six times in my career. I also won an award for Innovative Teaching Style at the 2011 National Teaching Conference.
4.90+
4+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
This student has attempted to use proof by contradiction to show that there is no least positive rational number: a. Identify the error in the students proof. b. Prove by contradiction that there is...
-
Use a proof by contradiction to show that there is no rational number r for which r3 + r + 1 = 0. Assume that r = a/b is a root, where a and b are integers and a/b is in lowest terms. Obtain an...
-
Use proof by contradiction to show that there exist no integers a and b for which 21a + 14b = 1.
-
The following inventory information is available for Ricci Manufacturing Corporation for the year ended December 31, 2017: Beginning Ending Inventories: Raw materials Work in process Finished goods...
-
From the mathematical definition of the free-space loss we see that it is dependent on the carrier wavelength A or frequency f. How can this dependence on wavelength or frequency be justified in...
-
What is meant by the price of variety? Graph and explain.
-
IQ and grades Do students with higher IQ test scores tend to do better in school? The figure below shows a scatterplot of IQ and school grade point average (GPA) for all 78 seventh-grade students in...
-
If Webster had made the chowder herself from a recipe that she had found on the Internet, could she have successfully brought an action against its author for a breach of the implied warranty of...
-
On October 1, 2017, Holt Company places a new asset into service. The cost of the asset is $12,000 with an estimated 5-year life and $30,000 salvage value at the end of its useful life. What is the...
-
Prove or disprove the following: (a) The sum of two even integers is an even integer. (b) The sum of two odd integers is an odd integer. (c) The sum of two primes is never a prime. (d) The sum of...
-
Prove or disprove the following: Note that to disprove a tautology, only one line of a truth table is required.
-
The plank has a weight W, center of gravity at G, and it rests on the two sawhorses at A and B. If the end D is raised a distance c above the top of the sawhorses and is released from rest, determine...
-
You have been employed as a systems analyst in the information systems organization of a medium-sized consumer goods manufacturer for three years. You are quite surprised when your manager offers you...
-
For your initial post, address the following: First, introduce yourself to the class by sharing a bit about yourself, such as your preferred name or pronouns, where you are from, what your major is,...
-
Question 8 : Consider the technology of Solar Panels. Which stage of the technology life cycle S curve is this technology in. Justify why ? Question 9 : The standard Product Life Cycle has 5 stages...
-
At Benihana restaurant a man wrenched his neck while ducking a piece of flying shrimp, requiring treatment by several doctors. By that summer, doctors determined surgery was necessary to treat...
-
You have just come into an inheritance of $25,000 from a distant relative, and you want to invest it for the long term. Provide an investment portfolio that includes five different stocks. Report the...
-
Given the following data set: .23, .30, .35, .41, .56, .58, .76, .80 a. Find the lower and upper quartiles. b. Calculate the IQR. c. Calculate the lower and upper fences. Are there any outliers?
-
Write electron configurations for the following ions, and determine which have noble-gas configurations: (a) Cd2+ (b) p3- (c) Zr4+ (d) Ru3+ (e) As3- (f) Ag+
-
Are the effective nuclear charges listed in Figure 21.13 helpful in explaining the trend in the electron affinity with increasing atomic number? Explain your answer. 1s 1 1s 1.69 Li 2s 1.28 2s 1.91...
-
Are the effective nuclear charges listed in Figure 21.13 helpful in explaining the trend in the first ionization energy with increasing atomic number? Explain your answer. 1s 1 1s 1.69 Li 2s 1.28...
-
The electron affinities of He, Be, and Ne are negative, meaning that the negative ion is less stable than the neutral atom. Explain why this is so for these three elements.
-
What general conclusions can you draw about your companys liquidity, solvency and productivity based on your ratio calculations. Working Capital 2017 = $9,994 M 2016 = $10,673 M Current Ratio 2017 =...
-
Tami Tyler opened Tami's Creations, Incorporated, a small manufacturing company, at the beginning of the year. Getting the company through its first quarter of operations placed a considerable strain...
-
5. The current spot exchange rate is 0.95/$ and the three-month forward rate is 0.91/$. Based on your analysis of the exchange rate, you are pretty confident that the spot exchange rate will be...
Study smarter with the SolutionInn App