Question

What is the square root of $7$ times the square root of $21$.

Answer 1

Finding the square root of $7$ times the square root of $21$.

According to the question, the condition can be expressed as, $\sqrt{7}\times \sqrt{21}$

Solving the expression we get,

$\begin{array}{rcl}\sqrt{7}\times \sqrt{21}& =& \sqrt{7}\times \sqrt{7\times 3}\\ & =& \sqrt{7}\times \sqrt{7}\times \sqrt{3}\\ & =& 7\sqrt{3}\end{array}$

Hence, the square root of $7$ times the square root of $21$is $7\sqrt{3}$.