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Dmitriy789 [7]
3 years ago
12

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

Mathematics
2 answers:
seropon [69]3 years ago
5 0

Answer:

2 \sqrt{15}

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

\sqrt{2 \times 2 \times 3 \times } 5

2) group the smae prime factors into pairs.

\sqrt{(2 \times 2)}  \times 3 \times 5

3) Rewrite each pair in exponent form.

\sqrt{ {2}^{2} \times 3 \times 5 }

4) use this role:

\sqrt{ {x}^{2} }  = x

2 \sqrt{3 \times 5}

5) Simplify.

4 \sqrt{15}

So, therefor, the answer is option 1.

Ilia_Sergeevich [38]3 years ago
3 0
The answer is a. 4x15=60 and 2^2=4 so we get 2x/sqrt(15)
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