Question

using estimation find the cube root for 4913 step by step pls only answers.

Answer 1

Answer:

hey mate here is your answer

Solution:-

For calculating the cube root of 4913, this number has to be separated in to groups starting from the rightmost digit

The groups are 4 and 913.

Considering the group 913

913 ends with 3 and we know that if the digit 3 is at the end of any perfect cube number, then its cube root will have 7 at its units place only. Therefore the digit at the units place of the required cube root is taken as 7.

Now considering the other group 4

We know that 1³ = 1 and 2³ = 8

Also, 1 < 4 < 8

So, 1 will be taken at the tens place. so the required cube root of 4913 is 17.

∛4913 = 17

Answer.

Cube root of 12167

We shall separate 12167 in to groups.

The groups are 12 and 167

167 ends with 7 and we know that if 7 is at the units place of any perfect cube number then its cube root will have 3 at its units place only. therefore, the digit at the units place of the required cube root is taken as 3.

Now considering the other group 12.

2³ = 8 and 3³ = 27

And also 8 < 12 < 27

2 is smaller than 3, therefore 2 will be taken as the digit at tens place of the required cube root.

Thus,

∛12167 = 23

Answer.

Cube root of 32768

We shall separate 32768 in to groups.

The groups are 32 and 768.

768 ends with 8. We know that if the digit 8 at the units place of perfect cube number, then its cube root will have 2 at its units place only. So, the digit at the units place of the required cube root is taken as 2.

Now, considering the other group 32.

3³ = 27 and 4³ = 64

Ans also, 3 < 32 < 64

3 is smaller than 4, so 3 will be taken as the digit at the tens place of the required cube root.  

∛32768 32

Answer.

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