We need to examine `72` and find the highest square number that divides into `72`. (Squares are the numbers `1^2= 1`,   `2^2= 4`,   `3^2= 9`,   `4^2= 16`, ...)

In this case, `36` is the highest square that divides into `72` evenly. We express `72` as `36 × 2` and proceed as follows.

`sqrt72=sqrt(36xx2)=sqrt(36)sqrt(2)=6sqrt(2)`

We have used the law: `a^(1//n)xxb^(1//n)=(ab)^(1//n)`

Get the Daily Math Tweet!
IntMath on Twitter