Question

What is the following product?

Answer 1

10√3

Explanation:

You separate √30 by √3·√10 and the other √10 cancelates the root leaving you with 10√3.

Answer 2

Answer:
`10√(3)`

Explanation:

Since both radicals have the same index (square roots) then to multiply them you simply multiply the numbers under the square root signs and keep them there:

`√(30) √(10)=√(300)`

Then, to simplify the expression you can break down the number into its factors till you get a perfect square that you can get out of the square root. In this case, since 300 is divisible by 100, then we're going to break it down conveniently because 100 is a perfect square:

`√(300)=√(3*100)=10√(3)`