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April 18, 2015

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Posted by **jimmy** on Tuesday, March 11, 2008 at 3:27am.

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 -
**Dr Russ**, Tuesday, March 11, 2008 at 6:33amI 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 -
**jimmy**, Tuesday, March 11, 2008 at 7:16ami dont 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 -
**Dr Russ**, Tuesday, March 11, 2008 at 7:59amOK

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 -
**jimmy**, Tuesday, March 11, 2008 at 8:51amso the answer would be 5^1/2....is that right???

- algebra 2 -
- algebra 2 -
**Dr Russ**, Tuesday, March 11, 2008 at 9:35amYes

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