Saturday, September 10, 2011

Practice problems for square roots in the denominator of fractions


Change these fractions with fractions in the denominators and write them in simplest form. Also write them rounded to the nearest thousandth.

a) 1/sqrt(5)

b) 10/sqrt(2)

c) 6/sqrt(12)

d) 5/sqrt(5)

Answers in the comments.


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  1. Prof. HubbardSeptember 10, 2011 at 6:05 AM

    ~= means approximately.

    a) 1/sqrt(5)

    multiply by sqrt(5)/sqrt(5) to get

    sqrt(5)/5 ~= 0.447

    b) 10/sqrt(2)


    multiply by sqrt(2)/sqrt(2) to get

    10sqrt(2)/2 = 5sqrt(2) ~= 7.071


    c) 6/sqrt(12)

    multiply by sqrt(12)/sqrt(12) to get 6sqrt(12)/12.

    6sqrt(12)/12 = sqrt(12)/2 = 2sqrt(3)/2 = sqrt(3) ~= 1.732

    d) 5/sqrt(5)


    multiply by sqrt(5)/sqrt(5) to get

    5sqrt(5)/5 = sqrt(5) ~= 2.236

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