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Math Help - Simplifying Radical Expressions

  1. #1
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    Smile Simplifying Radical Expressions

    I understand how to simplify the expressions however using absolute value signs is confusing. For instance:

    -1 Square root:44(a^4)(b^2)

    = -1*2(a^2)b square root:11
    but where would the absolute value signs go? around the (a^2)b or somewhere else?

    Also on a question like:

    -3 Square root:75(h^5)

    = -3*5(h^2) square root:3h

    but again, where would the absolute sign go?

    Thank you!
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by maryginsh View Post
    I understand how to simplify the expressions however using absolute value signs is confusing. For instance:

    -1 Square root:44(a^4)(b^2)

    = -1*2(a^2)b square root:11
    but where would the absolute value signs go? around the (a^2)b or somewhere else?

    Thank you!
    -1\sqrt{44a^4b^2}=-1(2)a^2|b|\sqrt{11}

    Note that b is the square root of b^2

    The index is even, so the principal root is nonnegative. Since b could be negative, you must take the absolute value of b to identify the principal root.
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  3. #3
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    Quote Originally Posted by maryginsh View Post
    I understand how to simplify the expressions however using absolute value signs is confusing. For instance:

    Also on a question like:

    -3 Square root:75(h^5)

    = -3*5(h^2) square root:3h

    but again, where would the absolute sign go?

    Thank you!
    -3\sqrt{75h^5}=-3(5)h^2\sqrt{3h}

    There would be no absolute value sign needed here since the variable h is squared and would produce a positive value anyway.
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