Question

Find the cube root of 91125 through estimation?

I will give you 50 points

Answer 1

Answer:

45

Step-by-step explanation

1. Form groups of three starting from the rightmost digit of 91125

91 125

2. Consider the first group 125. The digit 5 is at its one’s place.

Assume  the one’s place of the required cube root as 5.

3. Consider  the other group,91. Cube of 4 is 64, and cube of 5 is 125.

91 lies between 64 and 125.

The smaller number among 4 and 5 is 4.

Assume  4 as ten’s place of the cube root of 91125 .

Therefore ,$\sqrt[3]{91125} = 45$

Answer 2

Answer:

Given Number is 91125

Step 1: Form groups of three starting from the rightmost digit of 91125

91 125

In this case, one group, i.e., 125 has three digits whereas 91 has only one digit.

Step 2: Take 125. The digit 5 is at its one’s place. We take the one’s place of the required cube root as 5.

Step 3: Take the other group, i.e., 91. Cube of 4 is 64, and cube of 5 is 125. 91 lies between 64 and 125. The smaller number among 4 and 5 is 4. The one’s place of 4 is 4 itself. Take 4 as ten’s place of the cube root of 91125.

√91125 = 45

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