SOLUTION: - square root 3 ( Square root 15 + square root 8))

Algebra ->  Radicals -> SOLUTION: - square root 3 ( Square root 15 + square root 8))      Log On


   

Question 858823: - square root 3 ( Square root 15 + square root 8))
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,

The Problem:
Simplify this expresso:
-sqrt%283%29%2A%28sqrt%2815%29%2Bsqrt%288%29%29

Solution:
Use the distributive property to clear the parentheses.


When multiplying radical expressions with the same index (in this case they are all *square* roots), we 
can combine the factors under the same radical sign. For example, sqrt%283%29%2Asqrt%288%29=sqrt%2824%29 because 3*8=24.

Simply using the property.
-sqrt%283%29%2A%28sqrt%2815%29%2Bsqrt%288%29%29=-sqrt%2845%29-sqrt%2824%29

We can simplify these radical expressions by factoring out any perfect square numbers. For example,
sqrt%2845%29=sqrt%289%2A5%29=sqrt%289%29%2Asqrt%285%29=+3sqrt%285%29. (The square root of 9 is 3 because 3*3 = 9.)

Simplify using this property.


Hope this helps. Feel free to email me if you have questions about this solution.

Mrs. Figgy
math.in.the.vortex@gmail.com