algebra 2

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im studying radicals and im having trouble....i need help on this one....i really don't know how to write but here it goes...

the nth root is 4square root of 5 times the nth root is 4 square root of 5...i need to simplify the expression

  • algebra 2 -

    I don't understand the expression as the text you have given.

    "the nth root is 4square root of 5 times the nth root is 4 square root of 5"

    Is this exactly as presented in the question you were given?

  • algebra 2 -

    i don't know how to write it....its square root of 5 with the 4 on the left side times the square root of 5 with the 4 on the left side

  • algebra 2 -

    OK
    4sqrt5 x 4 sqrt5

    another way to write this (struggling with the limits of text only!) is

    5^(1/4)x5^(1/4)

    (^ means to the power of so 10^2=100)

    or 5 to power quarter x 5 to power quarter.

    When you multiply two numbers with powers together you add the powers.
    e.g. 10^2 x 10^2 = 10^4

    or 100^(1/2) x 100^(1/2)=100^1 (or =100)

    so

    5^(1/4)x5^(1/4) =?

    Does this help?

  • algebra 2 -

    so the answer would be 5^1/2....is that right???

  • algebra 2 -

    Yes

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