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Question

Find the cube roots of the following perfect cubes using estimation 592704

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Solution

Cube root of 592704
Step 1: Form groups of three starting from the rightmost digit of 592704

592704
One group i.e., 592 has two digits whereas 704 has only one digit.

Step 2: Consider 704. The digit 4 is at its one’s place.
We take the one’s place of the required cube root as 4

Step 3: Consider the other group, i.e.592
The number 592 ends with 2. it lies between the
8 cube= 512 and 9 cube=729. We will take the smallest which is 8.

Take 8 as the ten’s place of the cube root of 592704.

Thus, 592704= 84.

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