Answer
$a\sqrt 3 = \sqrt (a^{2} \times 3)$ because we proved that left hand side equals right hand side when we substituted an integer for a.
Work Step by Step
$a\sqrt 3 = \sqrt (a^{2} \times 3)$
a = 2
We substitute 2 for a
$2 \sqrt 3 = \sqrt (2^{2} \times 3)$
$2 \sqrt 3 = \sqrt (12)$
Two factors of 12 are 4 and 3
$2 \sqrt 3 = \sqrt (4 \times 3)$
The square root of 4 is 2 because 2 x 2 = 4
$2 \sqrt 3 = 2 \sqrt 3 $
