Question

Rewrite this radicand as two factors, one of which is a perfect square.

Answer 1

The answer is a. 4x15=60 and 2^2=4 so we get 2x/sqrt(15)

Answer 2

`2 √(15)`

Explanation:

1) rewrite 60 as it's prime factors.

`√(2 * 2 * 3 * ) 5`

2) group the smae prime factors into pairs.

`√((2 * 2)) * 3 * 5`

3) Rewrite each pair in exponent form.

`\sqrt{ {2}^(2) * 3 * 5 }`

4) use this role:

`\sqrt{ {x}^(2) } = x`

`2 √(3 * 5)`

5) Simplify.

`4 √(15)`

So, therefor, the answer is option 1.