Question

(√3-√2) whole square is rational or not

Answer 1

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Answer 2

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(√3-√2)² is irrational number

⚫ Identity Used:-

$\implies$ (a+b)²=a² + b² + 2ab

⚫ ReasOn:-

$\implies$ (√3+√2)²= (√3)² + (√2)² + 2√6

$\implies$(√3+√2)²= 3 + 2 + 2√6

$\implies$(√3+√2)²= 5 + 2√6

Thus, √6 is an irrational number so, (√3+√2)² is an irrational number.

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