SOLUTION: hello, can someone EXPLAIN how do figure out the following: 1/2sqrt5 + 1 1/2sqrt20 = 7/2sqrt5 I appreciate any help on the process. thank you!

Question 752286: hello, can someone EXPLAIN how do figure out the following:
1/2sqrt5 + 1 1/2sqrt20 = 7/2sqrt5
I appreciate any help on the process. thank you!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Assume the problem is:

+ 1 =

Make the 1 and 1/2 an improper fraction

+ =

multiply the equation by 2, this gets rid of the denominators
+ =
Factor inside the middle radical to reveal a perfect square
+ =
Extract the square root of 4
+ =
+ =
they are like terms now sqrt(5) just add
= which is obviously true

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