SOLUTION: How would I simplify ^5√√3?

Algebra ->  Radicals -> SOLUTION: How would I simplify ^5√√3?      Log On


   

Question 244805: How would I simplify ^5√√3?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%285%2Csqrt%283%29%29 Start with the given expression.


root%285%2C3%5E%281%2F2%29%5E%22%22%29 Rewrite sqrt%283%29 as 3%5E%281%2F2%29%5E%22%22 using the property sqrt%28x%29=%28x%29%5E%281%2F2%29%5E%22%22


%283%5E%281%2F2%29%29%5E%281%2F5%29 Convert root%285%2C3%5E%281%2F2%29%5E%22%22%29 to %283%5E%281%2F2%29%29%5E%281%2F5%29 using the property root%283%2Cx%29=%28x%29%5E%281%2F3%29%5E%22%22


3%5E%28%281%2F2%29%2A%281%2F5%29%29%5E%22%22 Multiply the exponents using the idea that %28x%5Ey%29%5Ez=x%5E%28yz%29


3%5E%28%281%2A1%29%2F%282%2A5%29%29%5E%22%22 Combine the fractions.


3%5E%281%2F10%29%5E%22%22 Multiply


root%2810%2C3%29 Convert back to radical notation


So root%285%2Csqrt%283%29%29=root%2810%2C3%29