SOLUTION: simplify sqrt81x^4 My instructor made this problem up it is not in my book

Algebra ->  Radicals -> SOLUTION: simplify sqrt81x^4 My instructor made this problem up it is not in my book      Log On


   

Question 186374: simplify sqrt81x^4 My instructor made this problem up it is not in my book
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2881%2Ax%5E4%29 Start with the given expression.


sqrt%2881%2Ax%5E2%2Ax%5E2%29 Factor x%5E4 into x%5E2%2Ax%5E2.


sqrt%2881%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


9%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Take the square root of 81 to get 9.


9%2Ax%2Ax Take the square root of x%5E2 to get x.


9x%5E2 Multiply.

==================================================

Answer:


So sqrt%2881%2Ax%5E4%29 simplifies to 9x%5E2


In other words, sqrt%2881%2Ax%5E4%29=9x%5E2 where "x" is non-negative.