Question

find cube root of 4741632 by estimation​

Answer 1

Here is your answer~
168

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Answer 2

Write 4741632 as 4.741632*10^6

such that the power of 10 is a multiple of 3.

A. Find the cube root of 4.741632.

B. The cube root of 10^6 is 10^2.

Multiply A and B.

To find the Cube root of 4.741632 :

Estimate is 2.

Express the number as a multiple of 2*2

4.741632=2*2*1.185408

The average of the three factors is 1.728469

Express the number as multiple of 1.7*1.7

4.741632=1.7*1.7*1.6407

The average of the three factors is 1.68

This is a fair estimate of the cube root of 4.741632.

So the cube root of 4741632=1.68*100=168