How do you simplify (2sqrt50) / sqrt2?

1 Answer
Pythagoras
Sep 20, 2015

10

Explanation:

Oh I like this one.

Well, you have to notice that 2=sqrt(2)*sqrt(2)
and rewrite as such:

(sqrt2 *sqrt2*sqrt50)/(sqrt2)

You can then cancel out a sqrt2 both top and bottom and get
=sqrt2*sqrt50

Which is easy because the multiplication of square-roots is like the square-root of the multiplication, I mean:
sqrt(a)*sqrt(b)=sqrt(a*b)
So we have:
=sqrt(2*50)
=sqrt(100)
=10

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