Simplify square root of 4a^3+ square root of a

$\sqrt{4 a^{3}} + \sqrt{a}$

Step 1

Rewrite $4 a^{3}$ as ${(2 a)}^{2} a$ .

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} a^{3}} + \sqrt{a}$

Factor out $a^{2}$ .

$\sqrt{2^{2} (a^{2} a)} + \sqrt{a}$

Rewrite $2^{2} a^{2}$ as ${(2 a)}^{2}$ .

$\sqrt{{(2 a)}^{2} a} + \sqrt{a}$

Step 2

Pull terms out from under the radical.

$2 a \sqrt{a} + \sqrt{a}$