How do you simplify $sqrt(3a)*sqrt(15a)$ ?

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Answer 1 · 2017-02-11T05:11:08

$3asqrt5$

$sqrt(3a)*sqrt(15a)$

We first multiply the numbers under the square root signs keeping both and the product under the square root sign.

$sqrt(3a*15a)$

$sqrt(45a^2)$

Now we reduce the product to factors and remove the squares, keeping the remnant under the square root sign.

$sqrt(3*3*5*a*a)$

Since we have two squares ( $3$ and $a$ ) we bring them out of the square root sign and keep the remnant ( $5$ ) under the sign.

$3asqrt5$

How do you simplify sqrt(3a)*sqrt(15a)sqrt(3a)*sqrt(15a)?