Question

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

Answer 1

Answer:

√4 * √15.

Step-by-step explanation:

√60

=√(4 * 15)

= √4 * √15

Answer 2

Answer:

our answer is  $\sqrt{4}*\sqrt{15}$ or in simplified form

as $2*\sqrt{15}$

Step-by-step explanation:

$\sqrt{60}$

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

$\sqrt{60}\\ =\sqrt{4 * 15}\\ We\,\,know\,\, \sqrt{a*b}= \sqrt{a}*\sqrt{b}\\ =\sqrt{4}*\sqrt{15}$

Solving, we get

$2*\sqrt{15}$

So, our answer is  $\sqrt{4}*\sqrt{15}$ or in simplified form

as $2*\sqrt{15}$