SOLUTION: rationalize the denominator for the expression square root 5 + square root of 55 all over the square root of 5

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Question 84046: rationalize the denominator for the expression square root 5 + square root of 55 all over the square root of 5
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression

Multiply both numerator and denominator by to rationalize the denominator

Distribute

Combine the square roots

Multiply

Take the square root of any perfect squares

Factor 275 into 25*11

Break apart the square roots

Take the square root of 25

Factor out a 5 out of the numerator

Divide

So the expression simplifies to



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