Question

.
If
$\sqrt{2 + \sqrt{x = 3} }$
find x​

Answer 1

Answer:

49

Step-by-step explanation:

$\text{Given:} \:\sqrt{2+\sqrt{x}} = 3$

Squaring on both sides we get,

⇒ 2 + √x = 3²

⇒ 2 + √x = 9

⇒ √x = 9 - 2

⇒ √x = 7

Squaring on both sides we get,

⇒ ( √x )² = 7²

⇒ x = 49

Hence the value of x is 49.

Answer 2

$\huge\underline\textbf{Answer}$

According to the given question:-

√2+ √x=3

Squaring both Sides:-

2 + √x = 3²

2 + √x = 9

√x = 9 - 2

√x = 7

Squaring both sides:-

( √x )² = 7²

x = 49

•°• Therefore, x = 49