SOLUTION: Rationalize the denominator square root of 11 / square 0f 7 =

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Question 72233This question is from textbook Elementary Algebra
: Rationalize the denominator

square root of 11 / square 0f 7 =
This question is from textbook Elementary Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To rationalize anything is to make it a rational number. In other words, a rational number is any number that can be represented by a "ratio" or fraction (notice the connection of words). Since sqrt%28y%29 is not a rational number, we need to get it to a rational number. We can do this by multiplying both numerator and denominator by sqrt%287%29
%28sqrt%2811%29%2Fsqrt%287%29%29%2A%28sqrt%287%29%2Fsqrt%287%29%29
%28sqrt%2811%29%2Asqrt%287%29%29%2F%28sqrt%287%29%2Asqrt%287%29%29
%28sqrt%2811%29%2Asqrt%287%29%29%2F7The square roots of 7 become 7 (ie %28sqrt%287%29%29%5E2=7)
%28sqrt%2811%29%2Asqrt%287%29%29%2F7Here's the answer
sqrt%2877%29%2F7The answer could also be written as this