SOLUTION: Simplify the following radical expressions. Show all work! I dont understand the method to use to solve the problem. (squareroot 7+5)squared

Algebra ->  Radicals -> SOLUTION: Simplify the following radical expressions. Show all work! I dont understand the method to use to solve the problem. (squareroot 7+5)squared      Log On


   

Question 38515: Simplify the following radical expressions. Show all work!
I dont understand the method to use to solve the problem.
(squareroot 7+5)squared
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %28sqrt%287%2B5%29%29%5E2 simplifies to 12
  • Text form: (sqrt(7+5))^2 simplifies to 12
  • Cartoon (animation) form: simplify_cartoon%28+%28sqrt%287%2B5%29%29%5E2+%29
    For tutors: simplify_cartoon( (sqrt(7+5))^2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %28sqrt%28highlight_red%28+7+%29%2Bhighlight_red%28+5+%29%29%29%5E2.
Added fractions or integers together
It becomes %28sqrt%28highlight_green%28+12+%29%29%29%5E2.
Look at highlight_red%28+%28sqrt%2812%29%29+%29%5Ehighlight_red%28+2+%29.
Replace constants in factor: highlight_red%28+%28sqrt%2812%29%29+%29,highlight_red%28+2+%29 with highlight_green%28+12+%29
It becomes highlight_green%28+12+%29.
Result: 12

Universal Simplifier and Solver


Done!

Hope this helps!