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Question

Quantitative Aptitude Question on Simplification

The cube root of 0.000729 is........?

A

0.9

B

0.09

C

0.009

D

0.0009

Answer

0.09

Explanation

Solution

For finding the cube root of 0.0007290.000729, we can write it in a simpler form:

0.000729=7291000000=729(100)30.000729 = \frac{729}{1000000} = \frac{729}{(100)^3}

We know that the cube root of 729729 is 99 because 93=7299^3 = 729

Thus, the cube root of 0.0007290.000729 is:

0.0007293=9100=0.09\sqrt[3]{0.000729} = \frac{9}{100} = 0.09

Therefore, the cube root of 0.0007290.000729 is 0.090.09.

So, The correct option is (B).