Question

$\sqrt{1+\frac{x}{144}}=\frac{13}{12}$ find x.

Answer 1

We have,

$\sqrt{1+\frac{x}{144}}=\frac{13}{12}$

On squaring both sides, we get

${\left(\sqrt{1+\frac{x}{144}}\right)}^2={\left(\frac{13}{12}\right)}^2$

$1+\frac{x}{144}=\frac{169}{144}$

$\frac{144+x}{144}=\frac{169}{144}$

$144+x=169$

$x=25$

Hence, this is the answer.