Posted by **Jane** on Wednesday, March 21, 2012 at 10:18pm.

Simplify the radical expression by rationalizing the denominator:

2(square root)108 / (square root) 180y

Please show me how to set up and how to solve

- math -
**MathGuru**, Thursday, March 22, 2012 at 11:25am
I'm going to assume your problem is this:

2√108

-----

√180y

Multiply both the top and bottom by the equivalent of 1.

2√108.....√180y

----- X -------

√180y.....√180y

Now we have:

2√108 * √180y

-------------

180y

Try to find factors to reduce this radical expression:

2√(2*2*3*3*3) * √(2*2*3*3*5)

----------------------------

180y

Now we have:

2*2*3*√3 * 2*3*√5

-----------------

180y

12√3 * 6√5

----------

180y

72√15

------

180y

Reduces to:

2√15

----

5

And there you have it!

- Correction -
**MathGuru**, Thursday, March 22, 2012 at 11:36am
Oops! Forgot to carry the y along in both the numerator and denominator.

From this point on, here's how it works out:

Try to find factors to reduce this radical expression:

2√(2*2*3*3*3) * √(2*2*3*3*5*y)

----------------------------

180y

Now we have:

2*2*3*√3 * 2*3*√5y

-----------------

180y

12√3 * 6√5y

----------

180y

72√15y

------

180y

Reduces to:

2√15y

----

5y

Sorry for any confusion!

- math -
**Chloe**, Monday, April 8, 2013 at 9:04pm
THANK YOU MY GOD YOU SAVED MY LIFE

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