SOLUTION: Sqrt125-sqrt80 = xsqrt5 What is the blank and how would I figure out this answer?

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Question 1184576: Sqrt125-sqrt80
= xsqrt5
What is the blank and how would I figure out this answer?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Sqrt125-sqrt80

=             xsqrt5


What do you mean?
Are you trying to show, sqrt%28125%29-sqrt%2880%29=x%2Asqrt%285%29
?

Answer by ikleyn(52765) About Me  (Show Source):
You can put this solution on YOUR website!
.

    sqrt%28125%29 = 5%2Asqrt%285%29.


    sqrt%2880%29 = 4%2Asqrt%285%29.


    THEREFORE,  the difference  sqrt%28125%29 - sqrt%2880%29  is equal to  


        5%2Asqrt%285%29 - 4%2Asqrt%285%29 = 1%2Asqrt%285%29 = sqrt%285%29.


    So, the identity in your post is correct, with x = 1.

Solved, answered and thoroughly explained.