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Math Help - [SOLVED] Simplifying Radicals

  1. #1
    markie_ien
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    [SOLVED] Simplifying Radicals

    Please help me with simplifying radicals

    click on the attachment------


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  2. #2
    Junior Member Ruichan's Avatar
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    1. sqrt 18 = sqrt (9x2) = sqrt (3^2)x 2 = 3 sqrt 2
    2. sqrt 12 = sqrt (4x3) = sqrt (2^2)x3 = 2 sqrt 3
    3. cubert 40 = cubert (8x5) = cubert (2^3)x5 = 2 cubert 5
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    .
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    9. quadrt 48 = quadrt (16x3) = quadrt (2^4)x3 = 2 quadrt 3

    Please do the remaining questions accordingly.
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  3. #3
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    Hello, markie_ien!

    Do you know how to simplify radicals?


    For example, for square roots

    . . \sqrt{ab}\:=\:\sqrt{a}\cdot\sqrt{b}

    In baby-talk, if we have the square root of a product,
    . . we can "split" them into two square roots.


    Example: Simplify \sqrt{18}

    We know that 18 is not a square number.

    Can we factor it so that one factor is a square?
    . . Yes: . 18 \:=\:9 \times 2

    So we have: . \sqrt{18}\:=\:\sqrt{9\cdot2} \:=\:\sqrt{9}\cdot\sqrt{2}

    Since \sqrt{9} = 3, the answer is: . 3\sqrt{2}


    Now try this on the problems with square roots . . .

    Last edited by Soroban; December 13th 2006 at 10:40 AM.
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