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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

How to solve.. (1/2)^1/2?

(1/2)^1/2, is it equal to under root 2..

Please explain..

11 Answers

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  • 1 decade ago
    Favorite Answer

    square root ( x ) is that same thing as taking x^ (1/2)

    so sq root 1/2 is sqroot(1) / sqroot(2)

    and root of 1 is just 1 therefore 1 / root(2)

  • 1 decade ago

    No,it is not equal to under root 2.

    Under root 2 is (2)^1/2.

    While, (1/2)^1/2 is (1)^(1/2) divided by (2)^(1/2) ...{by (a/b) ^ m =(a) ^ m / (b) ^ m }

    which is equal to 1 divided by under root 2 ...{since 1 to the power anything is 1}

  • 1 decade ago

    (1/2)^1/2

    =(1^1/2 )/(2^1/2 )

    =1/ √2

    Rationalize the demominator,

    =(1/ √2) * (√2 /√2 )

    =√2 /2

    anything to the exponent of 1/2 means square root, similarily, 1/3 is cube root, etc

  • 1 decade ago

    (1/2)^(1/2) is square root of 1/2. Take square on Numerator and Denominator. Square root of Numerator is 1 and square root of denominator is Root2. The final answer is 1 over root2

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  • 1 decade ago

    (1/2)^1/2 = √1/√2 = √2/2

    it is simply asking the square root of 1/2.

  • 1 decade ago

    (1/2)^1/2 = 1/2^1/2

    ............. = 1/√2

    ............. = √2/2

    ............. = ½√2

  • Anonymous
    1 decade ago

    ( 1 / 2 )^1/2 means sq. root of 0.5

    Source(s): Me
  • 1 decade ago

    x^(1/n) = n root(x)

    (1/2)^(1/2)

    squareroot(1/2) = 1 / squareroot(2) = sqrt(2) / 2

  • Como
    Lv 7
    1 decade ago

    The word "SOLVE" applies to equations and equations require an = sign.

    What we have here is an expression to be evaluated.

    1

    -----

    √2

    √2

    -----

    2

    0.707

  • 1 decade ago

    it is equal to sqrt(1/2) which is equal to 1/sqrt(2)

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