What is the square root of 42.3?

May 21, 2018

$\sqrt{\frac{423}{10}} = \frac{3}{10} \sqrt{470}$

Explanation:

$\sqrt{\frac{423}{10}}$
$= \frac{\sqrt{423}}{\sqrt{10}}$
$= \frac{\sqrt{9 \cdot 47}}{\sqrt{10}}$
=(sqrt(3²)*sqrt47)/sqrt10
$= 3 \sqrt{\frac{47}{10}}$
$= \frac{3}{10} \sqrt{470}$

May 21, 2018

$3 \sqrt{4.7}$

Explanation:

$\sqrt{42.3}$

$\therefore = \sqrt{3 \cdot 3 \cdot 4.7}$

$\therefore = \sqrt{3} \cdot \sqrt{3} = 3$

$\therefore = 3 \sqrt{4.7}$