Question

Simplify the radical expression 3√5+6√45

Answer 1

Answer:

21$\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying $\sqrt{45}$

= $\sqrt{9(5)}$ = $\sqrt{9}$ × $\sqrt{5}$ = 3$\sqrt{5}$

Then

3$\sqrt{5}$ + 6$\sqrt{45}$

= 3$\sqrt{5}$ + 6(3$\sqrt{5}$ )

= 3$\sqrt{5}$ + 18$\sqrt{5}$

= 21$\sqrt{5}$

Answer 2

Answer:

$21\sqrt{5}$

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.