Question

Find the cube root of the following through estimation method a.175616 b.91125​

Answer 1

Answer:

a) Prime factorisation of 175616 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7

Prime factorisation of 175616 = 2³ × 2³ × 2³ × 7^3

Cube root of 175616 = 2 × 2 × 2 × 7 = 56.

b) for the last three digits: 125, we find the digit 5 results in the units digit 5  in the given number as 5³ ends in 5.

for  9 1 ,

4³ = 64 is the highest cube < 91.

so answer is 45,

HOPE IT WILL HELP YOU....... :-)