Question

simplify.
remove all perfect squares from inside the square root. assume ( a ) is positive.
( sqrt{27a} = square )

Explanation:

Step1: Factor out perfect square

$27a = 9 \times 3a$

Step2: Split square root

$\sqrt{9 \times 3a} = \sqrt{9} \times \sqrt{3a}$

Step3: Simplify perfect square root

$\sqrt{9} = 3$

Answer:

$3\sqrt{3a}$