Math, asked by ashikook9493, 1 month ago

Prove that (5-2√3) is an irrational number, given that 13 is an
irrational number.

Answers

Answered by khushbuluderekar
3

Answer:

5 - 2 √3 = p/q, where p and q are integers, having no common factor except 1 and q ≠ 0. ... Therefore, √3 is also a rational number, which contradicts our assumption. Thus, Our supposition is wrong. Hence, 5 - 2 √3 is an irrational number.

Answered by harshit5645
6

Answer:

5 - 2 √3 = p/q, where p and q are integers, having no common factor except 1 and q ≠ 0. ... Therefore, √3 is also a rational number, which contradicts our assumption. Thus, Our supposition is wrong. Hence, 5 - 2 √3 is an irrational number.

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