How do you simplify $\sqrt{3 a} \cdot \sqrt{15 a}$ $sqrt(3a)*sqrt(15a)$ ?

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Answer 1 · 2017-02-11T05:11:08

$3 a \sqrt{5}$ $3asqrt5$

$\sqrt{3 a} \cdot \sqrt{15 a}$ $sqrt(3a)*sqrt(15a)$

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

$\sqrt{3 a \cdot 15 a}$ $sqrt(3a*15a)$

$\sqrt{45 a^{2}}$ $sqrt(45a^2)$

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

$\sqrt{3 \cdot 3 \cdot 5 \cdot a \cdot a}$ $sqrt(3*3*5*a*a)$

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

$3 a \sqrt{5}$ $3asqrt5$

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