\(\sqrt[3]{(125 × 64)}\) = ?a) 100b) 40c) 20d) 30

1.	\(\sqrt[3]{(125 × 64)}\) = ?a) 100b) 40c) 20d) 30
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.

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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