Question

Simplify fully V8 x V18

Answer 1

Answer:

12

Step-by-step explanation:

·$\sqrt{8}$×$\sqrt{18}$=$\sqrt{144}$

$\sqrt{144}$=12

Answer 2

Answer:

12

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ and $\sqrt{a}$ × $\sqrt{a}$ = a

Given

$\sqrt{8}$ × $\sqrt{18}$

Simplifying each radical

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

$\sqrt{18}$ = $\sqrt{9(2)}$ = $\sqrt{9}$ × $\sqrt{2}$ = 3$\sqrt{2}$

Thus

$\sqrt{8}$ × $\sqrt{18}$

= 2$\sqrt{2}$ × 3$\sqrt{2}$

= 2 × 3 × $\sqrt{2}$ × $\sqrt{2}$

= 6 × 2

= 12