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# Rationalizing Denominators

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Rationalize the denominator and simplify

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Rationalize the denominator and simplify

Multiply numerator and denominator by âˆš10

âˆš6*âˆš10 = âˆš60 = âˆš4*15 = 2âˆš15 = âˆš15
âˆš10*âˆš10 âˆš100 âˆš10*10 10 5

For any fractions with a square root in the denominator, multiply numerator and denominator by the denominator and simplify.

If the fraction has more than one square root in the denominator (example: âˆš3+âˆš4) then multiply to get rid of both:

(âˆš3+âˆš4)*(âˆš3-âˆš4)=3-4

So if the denominator has âˆša+âˆšb multiply by âˆša-âˆšb; if the denominator has âˆša-âˆšb multiply by âˆša+âˆšb (if you haven't gotten to this kind of problem yet then just ignore this last part).

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!