Question

What is the simplified form of 3 Start Root 5 c End Root times Start Root 15 c cubed End root? (worth 30 brainily points)

Answer 1

Answer:

A. 15 c squared Start Root 3 End Root

Step-by-step explanation:

$3\sqrt{5c} *\sqrt{15c^3}$

Multiply the terms inside the square roots together

$3\sqrt{75c^4}$

Look for items that are perfects squares

$3\sqrt{25*3*c^4}$

We can separate terms inside the square root into separate square roots

$3\sqrt{25} *\sqrt{3}*\sqrt{c^4}$

$3*5 *\sqrt{3} *c^2$

Combine like terms

$15c^2\sqrt{3}$