Question

Rationalize the denominator of (sqrrt of 50)/(sqrrt of 5). Simplify.

Answer 1

First, we should simplify it a bit:
\[\sqrt{50}/\sqrt{5} = \sqrt{25*2}/\sqrt{5} = 5\sqrt{2}/\sqrt{5}\]

now lets multiply the top and bottom by root 5
\[5\sqrt{2}/\sqrt{5}*(\sqrt{5}/\sqrt{5}) = 5\sqrt{10}/5\]

the 5 on the top and 5 on the bottom cancel out and you get:\[\sqrt{10}\]

Answer 2

Thank You :)