Posted by jimmy on .
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 
Dr Russ,
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 
jimmy,
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 
Dr Russ,
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 
jimmy,
so the answer would be 5^1/2....is that right???

algebra 2 
Dr Russ,
Yes