Question

find the cube root of 17576 through estimation​

Answer 1

Solution

The given number is 17576.

following Steps

STEP 1

Form group of three starting from the rightmost digit of 17576.

17 576. In this case one group i.e.,576 has three digits where as 17 has only two digits.

STEP 2

Take 576

The digit 6 is at the "one's" place

We take the one's place of the required cube root of 6.

STEP 3

Take the other group, i.e., 17.

Cube of 2 is 8 and cube of 3 is 27.17 life in between 8 and 27.

The smaller number among 2 and 3 is 2.

The one's place of 2 is 2 itself. Take 2 as ten's place of the cube root of 17576.

Thus,

$\sqrt[3]{17576 = 26}$

Answer 2

Answer:

Given number:

17576. Solution:

Form groups of three starting from the rightmost digit of 17576.

17576. In this case one group i.e., 576 has three digits whereas 17 has only  two digits.

Take 576.

The digit 6 is at its one’s place.

We take the one’s place of the required cube root as 6.

Take the other group, i.e., 17.

Cube of 2 is 8 and cube of 3 is 27. 17 lies between 8 and 27.

The smaller number among 2 and 3 is 2.

The one’s place of 2 is 2 itself. Take 2 as ten’s place of the cube root of 17576.

Thus, ∛17576 = 26

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