Question

What is the cube root of 88?

Answer 1

Hint: We are asked to find the cube root of the given number. To find this, first we can simplify it by multiplying and dividing suitable numbers inside the root and then take the factors of the number inside the root. Then we take the perfect cubes outside the root and obtain the simplified version of the number. To find the exact value, one can use the manual method or one can use a calculator to find the root.

Complete step by step answer:
The number for which we need to find the cube root, given in the question is 88, so we are asked to find the value of $\sqrt[3]{88}$ . Since there are no decimal values inside the root there is no need to multiply and divide in this case and we move on to find the factors of 88.
 We can write 88 in terms of its factors as follows,
$\begin{align}
  & 88=2\times 2\times 2\times 11 \\
 & 88={{2}^{3}}\times 11 \\
\end{align}$
Hence, we can take 2 outside the cube root and now we are left with,
$\begin{align}
  & \sqrt[3]{88}=\sqrt{{{2}^{3}}\times 11} \\
 & \sqrt[3]{88}=2\sqrt[3]{11} \\
\end{align}$
Therefore, we have obtained the simplified result for the given decimal number as $2\sqrt[3]{11}$. If we want to find the answer in decimal, then using a calculator we can find the exact value of the cube root. It turns out to be equal to 4.4479.

Note: Another way to directly evaluate the result is to enter 88 into the calculator and find its cube root. By doing so we arrive at the same result, 4.4479.