what is the square root of show your workings √ 81 / 625​

Question

what is the square root of show your workings

√ 81 / 625​

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Linh Đan 1 year 2021-08-31T14:48:54+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-31T14:50:29+00:00

    The sqrt function has the distributive property.

    So sqrt(a/b) = sqrt(a) / sqrt(b).

    In this case, a = 81, and b = 625.

    sqrt(81) = 9.

    sqrt(625) = 25.

    So sqrt(81/625) = 9 / 25.

    To get a decimal representation, multiply by a form of 1 that makes the denominator a power of 10. Here, 25 * 4 = 100, so

    9/25 * 4/4 = 36/100 = 0.36

    0
    2021-08-31T14:50:41+00:00

    Answer:

    81 = 3⁴

    √81

    = √3⁴

    =√(3²)(3²)

    =√(3²)²

    =3²

    =3×3

    =9

    ———————————————————————

    √625

    =√5⁴

    =√(5²)(5²)

    =√(5²)²

    =5×5

    =25

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