SOLUTION: Use Property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers. √72x^3 This is suppose to be a radical sig

Algebra ->  Radicals -> SOLUTION: Use Property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers. √72x^3 This is suppose to be a radical sig      Log On


   

Question 78053: Use Property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers.
√72x^3
This is suppose to be a radical sign √ but this is as close as I could get.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2872x%5E3%29

sqrt%289%2A8x%5E2x%29 Rewrite 72 as 9*8 and rewrite x^3 as x^2*x

sqrt%289%29sqrt%28x%5E2%29%2Asqrt%288x%29 Break up the square root

3x%2Asqrt%288x%29 Reduce

3x%2Asqrt%284%2A2x%29rewrite 8 as 4*2

3x%2Asqrt%284%29%2Asqrt%282x%29%29 break up the square root

3x%2A2%2Asqrt%282x%29%29 Reduce
6x%2Asqrt%282x%29%29 Multiply. This is the reduced form.