What is this expression in simplified form? \sqrt{32} · \sqrt{24}

Question

What is this expression in simplified form?

\sqrt{32} · \sqrt{24}

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Thiên Hương 4 years 2021-07-27T17:59:24+00:00 2 Answers 16 views 0

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    0
    2021-07-27T18:00:41+00:00

    Answer:

    16×sqrt(3)

    Step-by-step explanation:

    what full square numbers are factors in the numbers under the square root that we can pull out ?

    and then multiply the rest under the square root and possibly repeat one more time.

    32 = 16×2

    16 is a great square number.

    in 24 we find 4 as the largest square factor.

    so,

    sqrt(32)×sqrt(24) = sqrt(16×2)×sqrt(4×6) =

    = 4×sqrt(2)×2×sqrt(6) = 8×sqrt(2×6) = 8×sqrt(12) =

    = 8×sqrt(4×3) = 8×2×sqrt(3) = 16×sqrt(3)

    0
    2021-07-27T18:01:23+00:00

    Hello!

    √32 × √24 =

    = √768 =

    = 163

    Good luck! 🙂

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