Question

Find the cube root of 17576 through estimation.

Answer 1



Secondary School

Math

50 points

Find the cube root of 17576 through estimation

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 by Nidhilovely19.10.2017

Answers



siddhartharao77

Genius

Given number is 17576.

1) Split the number from right into the group of three digit numbers. We have 2 parts 17 and 576.

2)the unit digit of 576 is 6. Hence the unit digit of required cube root is 6.

3) Now, We have to estimate the cube root of 17.

It lies between 8 and 27 i.e cube of 2 and 3.   (2^3 = 8 and 3^3 = 27)

Take the units digit of the smallest number i.e 2.

So, The cube root of 17576 is 26.

Answer 2

Solution:

The given number is 17576.

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

Here, one group has three digits i.e., 576 whereas the other group has only two digits i.e.,17.

Step 2: Take 576.

The digit 6 is at its one’s place.

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

Step 3: Take the other group, i.e., 17.

Cube of number 2 is 8 and cube of number 3 is 27.

17 lies between 8 and 27.

The smaller number between 2 and 3 is 2.

The one’s place of 2 is 2 itself.

Now, take digit 2 as ten’s place of the required cube root.

Hence, the cube root of 17576 is;

3√17576 = 26