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# Cube root by estimation

Palak K.
15/06/2019 0 0

To find cube root by estimation we divide a number into two groups and find ones and tens from each group.

Example1):-Estimate cube root of 12167

Here we divide 12167 into two groups 12 and 167

Take 167. we know 3^3=27, a number ending with 7. So for one position, we take the number 3.

Take 12.we know 2^3=8 and 3^3=27 and 8<12< 27. Between 2 and 3, 2 is smaller. So for ten position is 2.

Thus the estimated cube root of 12167 is 23. We can verify the result.23^3=12167

Example 2) estimate cube root of50653

Step1- Divide 50653 into two groups 50 and 653

Step2-First take 653.we know 7^3=343 so for on digit we take 7.

Step3-Now take 50, We know 3^3=27 and 4^3=64. 27<50

so cube root of 50653=37. 37^3=50653. so it is verified.

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