What is cube root of 96?

Answer 1

Without a calculator we note that 4^3 = 64 and 5^3 = 125

So the cube root of '96' is between 4 & 5.

Since '96' is approximately half way between 63 & 125 , then an estimation for its cube root is 4.5

So try cubing 4.5

4.5^3 = 91.125 This is too low so increas to 4.6

4.6^3 = 97.336 This is too high so decrease by a small bit to 4.59

4.59^3 = 96.702 Still too high ; decrease a little further to 4.58

4.58^3 = 96/07.. Still too high so try 4.579

4.579^3 = 96.0089..

So to within two d.p. the cu.root of 96 is 4.5789.

However, a calculator will do it by 'inverse' cube' '96' '==' 4.57885697...

Answer 2

~4.57885697021