Question

$\sqrt{56 \ + \sqrt{x} } = 8 \:$
find x

please give answer as soon as possible​

Answer 1

Given :-

$\sf \sqrt{56 + \sqrt{x} } = 8$

To Find :-

Value of x

Solution :-

$\sf : \; \dashrightarrow \sqrt{56 + \sqrt{x} } = 8$

$\sf : \; \dashrightarrow ( \sqrt{56 + \sqrt{x} })^{2} = 8^{2}$

$\sf : \; \dashrightarrow \sqrt{( \sqrt{x} + 56 })^{2} = (2^{3})^{2}$

$\sf : \; \dashrightarrow \sqrt{( \sqrt{x} + 56 })^{\frac{2}{2}} = 2^{3 \times 2}$

$\sf : \; \dashrightarrow \sqrt{x} + 56 = 2^{6}$

$\sf : \; \dashrightarrow \sqrt{x} + 56 = 64$

$\sf : \; \dashrightarrow \sqrt{x} = 64 - 56$

$\sf : \; \dashrightarrow \sqrt{x} = 8$

$\sf : \; \dashrightarrow x = 8^{2}$

$\begin{gathered}{\underline{\underline{\bigstar{\large{\textsf{\textbf{\red{ x = 64 }}}}}}}}\end{gathered}$