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5.0k views
in Cubes And Cube Roots by (58.8k points)
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\(\sqrt[3]{(125 × 64)}\) = ?

a) 100
b) 40
c) 20
d) 30

1 Answer

+1 vote
by (44.3k points)
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Best answer

Firstly we have to find the prime factors of 125

125 = 5 × 5 × 5

And the prime factors of 64

64 = 2 × 2 × 2 × 2 × 2 × 2

\(\sqrt[3]{(125 × 64) }\)

= \(\sqrt[3]{(5 × 5 × 5 × 4 × 4 × 4) }\)

= \(\sqrt[3]{ (5 × 5 × 5) }\)× \(\sqrt[3]{ (4 × 4 × 4) }\)

= 5 × 4 = 20

∴ 20 is the correct answer.

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