Question

Take a factor out of the square root:

root7x2 , where x≥0


Please explain how to do these types of questions plz. Thanks! :D

Answer 1

See below.

Explanation:

Lets take √72:

Factoring 72 to find perfect squares:

72 = 2*2*2*3*3

The largest perfect square in the above = 2*2*3*3 = 36.

So we can write 72 as 36*2.

√72 = √(36 * 2)

√36 * √2

= 6√2.

One more example:

√18 = √(2*3*3)

= √9*√2

= 3√2.