Question

If $\frac{\sqrt{0.2304}+\sqrt{0.1764}}{\sqrt{0.2304}-\sqrt{0.1764}}=x$, then the value of x is __________.

• A. $0.8$
• B. $15$
• C. $12.5$
• D. $0.16$

Answer 1

The correct option is B $15$

Given,

$\frac{\sqrt{0.2304}+\sqrt{0.1764}}{\sqrt{0.2304}-\sqrt{0.1764}}=x$

$x=\frac{(\sqrt{0.2304}+\sqrt{0.1764})(\sqrt{0.2304}+\sqrt{0.1764})}{(\sqrt{0.2304}-\sqrt{0.1764})(\sqrt{0.2304}+\sqrt{0.1764})}$

$x=\frac{2\sqrt{0.04064256}+0.4068}{0.054}$

$x=\frac{0.4032+0.4068}{0.054}$

$x=\frac{0.81}{0.054}$

$\therefore x=15$