Question

How do you find the square root of 189?

Answer 1

`sqrt(189) = sqrt(3^2*21) = 3sqrt(21)`

Explanation:

If `a, b >= 0` then `sqrt(ab) = sqrt(a)sqrt(b)`

So:

`sqrt(189) = sqrt(9*21) = sqrt(3^2*21) = sqrt(3^2)sqrt(21) = 3sqrt(21)`

This cannot be simplified further since `21` has no square factors larger than `1`