Question

Rewrite this radicand as two factors, one of which is a perfect square. √60

Answer 1

√4 * √15.

Explanation:

√60

=√(4 * 15)

= √4 * √15

Answer 2

our answer is
`√(4)*√(15)` or in simplified form

as
`2*√(15)`

Explanation:

`√(60)`

We need to solve the above expression

Factors of 60:

1X60, 2X30, 3X20, 4X15, 5X12, 6X10

We need two factors one of which is perfect square

From the above factors only 4X15 full fills our condition as 4 is a perfect square

`√(60)\\ =√(4 * 15)\\ We\,\,know\,\, √(a*b)= √(a)*√(b)\\ =√(4)*√(15)\\`

Solving, we get

`2*√(15)`

So, our answer is
`√(4)*√(15)` or in simplified form

as
`2*√(15)`