Question

2\sqrt{18} +2\sqrt{2}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

- 4$\sqrt{2}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify $\sqrt{18}$ using this rule

$\sqrt{18}$

= $\sqrt{9(2)}$

= $\sqrt{9}$ × $\sqrt{2}$ = 3$\sqrt{2}$

Then

- 2$\sqrt{18}$ + 2$\sqrt{2}$

= - 2(3$\sqrt{2}$ ) + 2$\sqrt{2}$

= - 6$\sqrt{2}$ + 2$\sqrt{2}$

= - 4$\sqrt{2}$