posted by Steve on .
Simplifying Radicals, Use the quotient property to simplify the expression. 3 times the square root of 6/3
3*sqrt(6/3) is the same thing as saying 3*sqrt(2)
3√(6/3) is the same as 3√6/√3
To rationalize the denominator, multiply both the top and bottom by √3/√3 which is the same as multiplying by 1.
Now we have:
3√6/√3 * √3/√3 = 3√18/√9
√18 can be simplified to √(9*2) = 3√2
√9 = 3
Putting it together:
Cancel out 3 in both the top and bottom.
You are left with 3√2
I hope this will help.
is that not what i just said without all the words?
Yes, you are correct! Since the question asked to use the quotient property, I just expanded on the problem in a different way.