SOLUTION: Rationalize the denominator: I worked this problem out however I am not sure if I did it right. Can you look at my steps and tell me if I am correct or if i need to make correction

Question 63375This question is from textbook intermediate algebra
: Rationalize the denominator: I worked this problem out however I am not sure if I did it right. Can you look at my steps and tell me if I am correct or if i need to make corrections. Please help.
3____
√[6] � √[3]

3 * √6+√3
√6-√3 √6+√3
= 3√6 + 3√3
√36 + √12 - √12 -√6
=3√6 +3√3
6-3
=3√6 +3√3
3
This question is from textbook intermediate algebra

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
SEE MY COMMENTS
Rationalize the denominator: I worked this problem out however I am not sure if I did it right. Can you look at my steps and tell me if I am correct or if i need to make corrections. Please help.
3____
√[6] � √[3]
OK
=[3 * √6+√3]/[(√6-√3) (√6+√3)]....OK BUT PUT BRACKETS AS SHOWN
= 3[√6 + √3]/[√36 + √12 - √12 -√6]....NO
NEED NOT MULTIPLY N.R.
D.R.(DENOMINATOR) IS WRONG
D.R.= SQRT(36)+SQRT(18)-SQRT(18)-SQRT(9)=6-3=3
BUT BETTER USE FORMULA (A+B)(A-B)=A^2-B^2=[SQRT(6]^2-[SQRT(3)]^2=6-3=3
=3[√6+√3]/[6-3] ...PUT BRACKETS
=3[√6+√3]/3
=SRT(6) + SQRT(3) IS THE ANSWWER
YOU DID OK ,BUT BE CAREFULL IN MULTIPLICATION AND PUT BRACKETS

RELATED QUESTIONS
Hello, I am stuck on a problem for homework and need some help. I worked it out but am... (answered by Alan3354)

I am in remedial math and a word problem on my math test that I am not sure what the... (answered by stanbon,RAY100)

Hello, I do not wish for you to work the problem unless I did it wrong. I'm simply... (answered by rothauserc)

I am a little confused. Can I get someone to help me please. I worked out the problem I... (answered by Earlsdon)

I need help. I am trying to solve addition and subtraction of rational numbers problem. I (answered by ankor@dixie-net.com)

The exercise asks to solve algebraically this equation: 36(1.35)^x=4.35 My work comes up... (answered by lwsshak3)

A rope braiding machine can make 10/13 of a foot of rope per second. How many seconds... (answered by rfer)

Here is my problem: My problem is asking me to rationalize the denominator and simplify... (answered by solver91311,Theo)

Jace's collection of sports cards includes ten baseball, seven basketball, and nine... (answered by jim_thompson5910)