\sqrt[3]{(125\times64)=?}
a) 100
b) 40
c) 20
d) 30
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\times64)}=\sqrt[3]{(5\times5\times5\times4\times4\times4)}=\sqrt[3]{(5\times5\times5)\times\sqrt[3]{(4\times4\times4)}}
= 5 × 4 = 20
∴ 20 is the correct answer.
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