# 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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