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    Rationalizing Denominators

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    Rationalize the denominator and simplify

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    © BrainMass Inc. brainmass.com December 24, 2021, 7:01 pm ad1c9bdddf
    https://brainmass.com/math/fractions-and-percentages/rationalizing-denominators-157233

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    Rationalize the denominator and simplify

    Multiply numerator and denominator by √10

    √6*√10 = √60 = √4*15 = 2√15 = √15
    √10*√10 √100 √10*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: √3+√4) then multiply to get rid of both:

    (√3+√4)*(√3-√4)=3-4

    So if the denominator has √a+√b multiply by √a-√b; if the denominator has √a-√b multiply by √a+√b (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!

    © BrainMass Inc. brainmass.com December 24, 2021, 7:01 pm ad1c9bdddf>
    https://brainmass.com/math/fractions-and-percentages/rationalizing-denominators-157233

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