How do I simplify this expression: 2√5 / 5√2? I got 2√10 / 10 but the answer is √10 / 5... how?

Question

anonymous · Answer

I tried 2√5 / 5√2 = 2√5 / 5√2 = √2 / √2

anonymous · Answer

don't worry, 2sqrt(10) / 10 = sqrt(10)/5

anonymous · Answer

you just simplify

anonymous · Answer

what?

king · Answer

see..in the top 2 can be written as sqrt2*sqrt2 and in the bottom 5 is sqrt 5*sqrt5  
so u wil get sqrt2/sqrt5 now multiply by sqrt5/sqrt5 to get sqrt10/5

anonymous · Answer

why?

anonymous · Answer

Don't I do this:

2√5       2√5      √2
----  = ----- x ----
5√2       5√2       √2

anonymous · Answer

yes, called rationalizing the denominator

anonymous · Answer

yes. But I got 2√10 / 10 D:

anonymous · Answer

when it's supposed to be √10 / 5

anonymous · Answer

$$\frac{2\sqrt{10}}{5\sqrt{2}*\sqrt{2}}$$

anonymous · Answer

can you see from that?

anonymous · Answer

$$= \frac{2\sqrt{10}}{5*2}$$

anonymous · Answer

$$= \frac{\sqrt{10}}{5}$$