Question

simplify
(root 2 - root 3)2​

Answer 1

The answer is - 0.635. Approx

Answer 2

it's (√2 - √3)^2 or 2(√2 - √3) ??

anyways, I'll provide solution for both problems..

for (√2 - √3)^2

here we'll use algebraic identity (a - b)² = a² - 2ab + b²

= (√2)² - 2(√2)(√3) + (√3)²

= 2 - 2√6 + 3

= 5 - 2√6

for 2(√2 - √3)

here we have to do simple multiplication.

= (2 × √2) - (2 × √3)

= 2√2 - 2√3