Question

Find the square roots of the two factors of square root of 36 and multiply them.

Answer 1

Answer:

see explanation

Step-by-step explanation:

The factors of 36 which are perfect squares are 9 and 4, thus

$\sqrt{9}$ ×$\sqrt{4}$ = 3 × 2 = 6

$\sqrt{36}$ = 6

This confirms the radical rule

$\sqrt{ab}$ = $\sqrt{a}$ × $\sqrt{b}$

That is

$\sqrt{36}$ = $\sqrt{9(4)}$ = $\sqrt{9}$ × $\sqrt{4}$ = 3 × 2 = 6