Question

solve with exact definition
Thank you!​

Answer 1

Step-by-step explanation:

$\sqrt{2 + \sqrt{x} } = 3 \\ squaring \: both \: sides \: \\ \\ 2 + \sqrt{x} = {3}^{2} \\ 2 + \sqrt{x} = 9 \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sqrt{x} = 9 - 2 \\ \: \: \: \: \: \: \: \: \: \sqrt{x} = 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ x = {7}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 49$

x=49

"okay brother "

Answer 2

Given :-

√2+√x = 3

To Find :-

Value of "x".

Solution :-

√2 +√x = 3

Squaring both sides.

2 + √x = 9

√x = 7

Again squaring both sides.

(√x)² = 7²

x = 49