Question

What is the square root of 16.2?

Answer 1

`sqrt(16.2) = (9sqrt(5))/5 ~~ 4.0249`

Explanation:

Use: `sqrt(ab) = sqrt(a)sqrt(b)` if `a, b >= 0`

and: `sqrt(a^2) = a` if `a >= 0`

`sqrt(16.2) = sqrt(81/5) = sqrt((9^2*5)/(5^2)) = sqrt(9^2/5^2)sqrt(5) = (9sqrt(5))/5 ~~ 4.0249`