SOLUTION: √33/√77 Rationalize the denominator and simplify:

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Question 185800: √33/√77

Rationalize the denominator and simplify:

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Multiply both the numerator and denominator by


Multiply by to get


Factor 33 into 3*11 and factor 77 into 11*7


Combine the roots.


Multiply


Break up the square root


Take the square root of to get 11


Recombine the square roots.


Multiply


Factor 77 into 7*11


Cancel out the common terms.


Simplify


So

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