simplify:

Radical 108a - Radical 27a

27 = 3*3*3

sqrt 27 = 3 sqrt3

108 = 3*3*3*2*2
sqrt 108 = 6 sqrt3

I don't know if your "a" is inside or outside the radical sign. You should use parentheses to indicate which is is. In any case, the difference between sqrt 108 and sqrt27 is 3 sqrt3. Put the 'a' or 'sqrt a' wherever it belongs, as a factor.

Thanks. That's the answer i had and the a was in the radical. so do the answer come out to be 3(Radical 3a)

Yes

To simplify the expression Radical 108a - Radical 27a, we need to find the largest perfect square that divides evenly into both 108a and 27a.

First, let's break down the radicands (the numbers inside the radicals):

Radical 108a = Radical (36 * 3 * a) = Radical (6^2 * 3 * a) = 6a * Radical 3
Radical 27a = Radical (9 * 3 * a) = Radical (3^2 * 3 * a) = 3a * Radical 3

Now we can rewrite the expression:

Radical 108a - Radical 27a = 6a * Radical 3 - 3a * Radical 3

Since the radical terms have the same radical part (Radical 3), we can combine them:

6a * Radical 3 - 3a * Radical 3 = (6a - 3a) * Radical 3

Simplifying the coefficients:

(6a - 3a) * Radical 3 = 3a * Radical 3

Therefore, the simplified expression is 3a * Radical 3.