Question

Find the cube root of $39304$ by estimation method.

• A. $24$
• B. $44$
• C. $34$
• D. $54$

Answer 1

The correct option is C $34$

Step $I$: Form groups of $3$ starting from right most digit of $39304$, i.e. $\overline{39}\overline{304}$.
Then, the two groups are $39$ and $304.$

Here, $39$ has $2$ digit and $304$ has $3$ digit.

Step $II$: Take $304$.
Digit in unit place $=4$.
Therefore, we take one's place of required cube root as $4$ ....[Since, $4^3=64$].

Step $III$: Now, take the other group $39$.
We know, $3^3=27$ and $4^3=64$.
Here, the smallest number among $3$ and $4$ is $3$.
Therefore, we take $3$ as ten's place.
$\therefore \sqrt[3]{339304}=34$.

Hence, option $C$ is correct.