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erica [24]
3 years ago
12

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

Mathematics
2 answers:
Sphinxa [80]3 years ago
5 0

Answer:

√4 * √15.

Step-by-step explanation:

√60

=√(4 * 15)

= √4 * √15

Morgarella [4.7K]3 years ago
5 0

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}

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