sqrt (10/2)= sqrt 5

Question

Quotient Property: 2*sqrt10/2

I need to learn how to simplify the expression

give me a problem and i can teach you

Answer 1

Alright, let's try to simplify the expression:
3 * sqrt(12) / sqrt(3)

First, let's break down the square root of 12 into its prime factors:
-sqrt(12) = sqrt(2 * 2 * 3)
-sqrt(12) = sqrt(2^2 * 3)

Now, let's use the quotient property to solve the expression:
-3 * sqrt(12) / sqrt(3) = 3 * (sqrt(2^2 * 3) / sqrt(3))

Since the square root of a number squared is the number itself, we can simplify further:
-3 * (sqrt(2^2 * 3) / sqrt(3)) = 3 * (2 * sqrt(3) / sqrt(3))

Now we can see that we have a sqrt(3) in both the numerator and the denominator:
-3 * (2 * sqrt(3) / sqrt(3)) = 3 * (2 * 1) = 3 * 2

So the simplified expression is:
3 * sqrt(12) / sqrt(3) = 6