SOLUTION: I need to rationalize the denominator of 5 over (7- radical 14). I get 1+ (radical 14 over 7). Is this the same as (7 + radical 14) over 7? Since 7/7 is 1, it should be equivalent.

Question 78946: I need to rationalize the denominator of 5 over (7- radical 14). I get 1+ (radical 14 over 7). Is this the same as (7 + radical 14) over 7? Since 7/7 is 1, it should be equivalent.
Found 2 solutions by mathdoc314, fetter6:
Answer by mathdoc314(58) (Show Source): You can put this solution on YOUR website!
Rationalize the denominator

Multiply by on top and bottom to clear out the radical from the denomator. (Whenever you multiply by , it multiplies by 1, so the value is unchanged - here we use C = ).
I get so the answer is yes, they are equal. I hope your teacher did not mark you wrong for putting the 7 on top since they are both perfectly good expressions and equal to each other, and both have the the denominator rationalized. Or if it is a bet with your friend or your big sister I hope that she has to give you the M&Ms or whatever.

Answer by fetter6(6) (Show Source): You can put this solution on YOUR website!
Problem: Rationalize
Multiple the top and bottom by the conjugate of which is .

The numerator becomes
The denominator becomes
So the problem reduces to:
. So you are correct!
QED
RELATED QUESTIONS
5 radical 7 + 3 radical 28 I tried 5 radical 7 + 3 radical 28 5 radical 7 + 3 radical (answered by edjones)
Im in college math, its kinda embarrising to say this but I forgot a little bit about... (answered by richard1234,MathLover1)
HELP ME PLEASE... I dont really undersatnd radicals.... how do you solve them. k I... (answered by Alan3354)
8 over sqrt 14 +1 (note +1 is not under the radical, but 8 is over everything) {{{... (answered by Alan3354)
Please help solve this problem: I need to find the answer of the radical by first... (answered by edjones)
Rationalize the denominator 34 over radical... (answered by jim_thompson5910,edjones)
4 minus radical 3 over 7... rationalize the numerator (answered by stanbon)
Radical 48 x^2 over radical 5y rationalize the denominator (answered by solver91311)
How would you simplify this problem? radical 3 over radical 21 Would you divide... (answered by richwmiller)