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Square Roots (mod N) Find two square roots of 144 (mod 437), using the Chinese Remainder Theorem. Note: 437 = 19 x 23 Note2: There

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Square Roots (mod N) Find two square roots of 144 (mod 437), using the Chinese Remainder Theorem. Note: 437 = 19 x 23 Note2: There are 4 square roots; we're just asking to find two of them. (a) Find the square roots of 144 (mod 19). (b) Find the square roots of 144 (mod 23). (c) Combine using Chinese Remainder Theorem to find the first root (mod 437). (d) Combine using Chinese Remainder Theorem to find the second root (mod 437)

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