SOLUTION: Simplify: 28sqrt45 The answer is 84sqrt5, but I don't know how to get it.

Algebra ->  Radicals -> SOLUTION: Simplify: 28sqrt45 The answer is 84sqrt5, but I don't know how to get it.      Log On


   

Question 350948: Simplify: 28sqrt45
The answer is 84sqrt5, but I don't know how to get it.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
28%2Asqrt%2845%29 Start with the given expression.


28%2Asqrt%289%2A5%29 Factor 45 as 9*5 (one of the factors must be a perfect square)


28%2Asqrt%289%29%2Asqrt%285%29 Break up the root


28%2A3%2Asqrt%285%29 Take the square root of 9 to get 3.


84%2Asqrt%285%29 Multiply 28 and 3 to get 84.


So 28%2Asqrt%2845%29=84%2Asqrt%285%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim