SOLUTION: What is happening here: (√(5) + √(5)) (10) = 10√(5) + 10√(5) why does this equal 20√(5) I don't understand how this works. Thank you

Algebra ->  Equations -> SOLUTION: What is happening here: (√(5) + √(5)) (10) = 10√(5) + 10√(5) why does this equal 20√(5) I don't understand how this works. Thank you      Log On


   



Question 1020711: What is happening here:
(√(5) + √(5)) (10)
= 10√(5) + 10√(5)
why does this equal 20√(5) I don't understand how this works.
Thank you

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
First step is Distributive Property and the second step is simple addition of the terms of square root of five.

Look back at your first expression. That itself, if you skipped the use of distributive property would have the sqrt%285%29%2Bsqrt%285%29=2sqrt%285%29.