Question

Find the cube root of 0.004913 [4 MARKS]

Answer 1

Concept: 1 Mark
Application: 3 Marks

$0.004913=\frac{4913}{1000000}$

Cube root of 4913 by estimation

4(group 1) 913(group 2)

The units digit of cube root of number ending with 3 will be 7

And 4 is between 1 and 8

i.e cube of 1 and 2

so taking the smaller number as the tens digit.

We get the cube root as 17

Also the denominator 1000000 has a cube root of 100

$\Rightarrow$ Cube root $=\frac{17}{100}$

$=0.17$