Posted by **Steve** on Tuesday, February 20, 2007 at 9:26pm.

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)

Your problem:

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:

3*3√2/ 3

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.

## Answer This Question

## Related Questions

- Algebra 2: Radicals URGENT!! - Could some kind, saintly soul help me solve this ...
- MATH PLEASE CHECK IT!!2 - sqrt2/sqrt10 here is what I got: sqrt (2/10)= sqrt (1/...
- Algebra - Check My Work - For Question 1-8 Simplify the Radical Expression...
- Algebra - 1. Simplify the expression: 4√18+5√32 A.45√2 B.32&#...
- Math - Help with radicals please - Please show work Simplify rational 1. 4√...
- Algebra 2 Answer Check - Simplify by rationalizing each denominator. 1. 2/√...
- algebra 1 help - simplifying square roots 1) find volume of this prism? v=bwh b...
- Math(I Don't Get THIS!!) - 15sqrt8x^16/5sqrt2x^4 *I totally need help with this ...
- Math - I need help simplifying radicals. The problem in priticular is the square...
- Algebra - 1.Simplify the radical expression. √5+6√√5 A.5√...

More Related Questions