Help Me, please.

Simplify: Type the answer as a radical reduced to simplest form.

Radical 12a^{4}b^{3}

ManuelBautista2019
Feb 12, 2018

#1**+2 **

√ [ 12 * a^4 * b^3 ] =

√12 * √a^4 * √b^3 =

√3 * √4 * √a^4 * √b^3 =

√3 * 2 * a^2 * b√b =

2a^2b√ [ 3b ]

Note, Manuel......if you are having trouble simplifying these square roots.....we want to factor all numbers where one or more of the factors are perfect squares (if possible)

For the variables ..... note that √a^m = a^( m / 2)

To simplify these....let's look at an example wher m = 5

So we have √x^5 = x^(5/2)

Simply divide 5/2 and express as a mixed number = 2 + 1/2

The whole part tells us how many powers of x "come out" of the radical and the numerator of the fraction tells us how many factors of x "stay in" the radical

CPhill
Feb 12, 2018