Question

Find the value of $\sqrt{15625}$ and the use it to find the value of $\sqrt{156.25}+\sqrt{1.5625}$.

• A. 13.75
• B. 12.75
• C. 14.25
• D. 13.25

Answer 1

The correct option is A 13.75

$15625$

	$125$
$1$	$15625$ $1$
$22$	$56$ $44$
$245$	$1225$ $1225$

$\therefore \sqrt{15625}=125$
Thus,
$\sqrt{156.25}=\sqrt{\frac{15625}{100}}$
$=12.5$
And,
$\sqrt{1.5625}=\sqrt{\frac{15625}{10000}}$
$=\frac{125}{100}$
$=1.25$
Hence,
$\sqrt{156.25}+\sqrt{1.5625}=12.5+1.25$
$=13.75$