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how do i multiply this...?

I need help! How do I multpily this...

√3 x √5

or simplify this by factoring?!

√x^7

5 Answers

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  • 1 decade ago
    Favorite Answer

    To multiply Square Roots, simply multiply the numbers, but keep the square root:

    Here is the theorem: √a • √b = √ab

    So, √3 • √5 = √15.

    The same is true for the opposite:

    √xˆ7 = √xˆ2 • √xˆ2 • √xˆ2 • √x

    When we find √xˆ2, we get x. Since √x can't be simplified, we leave it as is. Thus,

    √xˆ2 • √xˆ2 • √xˆ2 • √x = x • x • x • √x ==> xˆ3√x

    Hope I helped!

  • Anonymous
    1 decade ago

    just multiply 3 and 5 and then put the result 15 under the square root.

    i.e.√3 x √5=√15

    Good luck!

  • 1 decade ago

    If you have √a x √b, it is the same as √ab

    So in your first problem, you have √15

    For the second problem, imagine it was:

    sqrt( x² * x² * x² * x )

    This can be changed to:

    sqrt(x²) * sqrt(x²) * sqrt(x²) * sqrt(x)

    This becomes:

    x * x * x * sqrt(x)

    Or more simply:

    x^3 √x

    Note: you could have taken a shortcut by factoring x^7 as x^3 * x^3 * x. Then you'd get sqrt(x^3 * x^3) * sqrt(x) = x^3 sqrt(x). Same answer, either way.

  • 1 decade ago

    3 x 5 = 15, simple.. this is your answer !!

    seems you are not taking your study quite serious.

    just go back to work before mom spank you !!

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  • 1 decade ago

    sqrt15

    x^3sqrtx

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