Question

What is the simplest form of 6 radical 8 plus 8 radical 2

Answer 1

Answer:

20$\sqrt{2}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify

$\sqrt{8}$ = $\sqrt{4(2)}$ = $\sqrt{4}$ × $\sqrt{2}$ = 2$\sqrt{2}$

Thus

6$\sqrt{8}$ + 8$\sqrt{2}$

= 6(2$\sqrt{2}$ ) + 8$\sqrt{2}$

= 12$\sqrt{2}$ + 8$\sqrt{2}$

= 20$\sqrt{2}$