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Rationalize the denominator
PLS HELP

Rationalize the denominator PLS HELP-example-1
User Ozone
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2 Answers

6 votes

Answer:

x = 5, y = sqrt6, z = 3

Explanation:


(10)/(√(6) ) \\\\((10)(√(6) ))/((√(6) )(√(6)) ) \\\\(10√(6) )/(6) \\\\or\\\\(5√(6) )/(3)

User MoiioM
by
3.0k points
3 votes

❄ Hi there,

let us revise the way we rationalize the denominator before we get down to the actual process.

__________

Suppose you had a problem, and you did all the steps, and you arrived at the following answer:
\sf{(10)/(\sqrt6)}.

Well, this answer is not in its simplest form, because it has an irrational number in its denominator.

So what we do is we get rid of that irrational number in the denominator by multiplying the fraction's top & bottom by
\sqrt6:


\sf{(10\sqrt6)/(\sqrt6* \sqrt6)}

Now we simplify


\sf{(10\sqrt6)/(6)}

Reduce


\sf{(5\sqrt6)/(3)}

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User Rajat Bansal
by
3.0k points