Question

Expand and simplify

Answer 1

Answer:

5$\sqrt{2}$ + $\sqrt{10}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\sqrt{5}$($\sqrt{10}$ + $\sqrt{2}$) ← distribute

= $\sqrt{50}$ + $\sqrt{10}$

= $\sqrt{25(2)}$ + $\sqrt{10}$

= $\sqrt{25}$ × $\sqrt{2}$ + $\sqrt{10}$

= 5$\sqrt{2}$ + $\sqrt{10}$