How we can write √202.75 as 1/2√811?

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  • 1 year ago

    First, write 207.75 as an improper fraction:

    202.75 = 202 + 0.75 = 202 + 3/4 = 808/4 + 3/4 = 811/4

    Then used the property √(a/b) = √a / √ b, for all a,b > 0, so that:

    √202.75 = √(811/4) = √811 / √4 = √811 / 2

    ...and that's (1/2) √811.

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