Question

What is the value of $\sqrt[3]{3125}+\sqrt[3]{3125}$?

Use estimation method to find the cube root.

• A. $-10$
• B. $0$
• C. $5$
• D. $10$

Answer 1

The correct option is D $10$

First, we need to find $\sqrt[3]{3125}$ with the estimation method.

STEP 1:

With the estimation method divide the number $125$ into two parts. Since there are odd number of digits keep the heavier side on the right side.

Therefore it will be divided into only one part that is $\underset{–}{125}$.

STEP 2:

Since the units place of the group is $5$, the cube root will also have a $5$ in its units place....[Since, $5^3=125$].

Therefore, $\sqrt[3]{3125}=5$.

Then,

$\Rightarrow \sqrt[3]{3125}+\sqrt[3]{3125}=5+5=10$.

Hence, option $D$ is correct.