Question

What will be cube root of $125\times 1331$?

• A. 55
• B. 65
• C. 45
• D. 75

Answer 1

The correct option is A 55

$\sqrt[3]{3125\times 1331}$
125 can be written as $5\times 5\times 5$ and 1331 can be written as $11\times 11\times 11$

$⟹\sqrt[3]{3125\times 1331}=\sqrt[3]{3\underset{–}{5\times 5\times 5}\times \underset{–}{11\times 11\times 11}}$
Taking out the numbers which are in the form of triplets, we get
$⟹\sqrt[3]{3125\times 1331}=5\times 11=55$.