Question

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

Answer 1

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

Answer 2

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

Answer 3

you just simplify

Answer 4

what?

Answer 5

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

Answer 6

why?

Answer 7

Don't I do this:

2√5 2√5 √2
---- = ----- x ----
5√2 5√2 √2

Answer 8

yes, called rationalizing the denominator

Answer 9

yes. But I got 2√10 / 10 D:

Answer 10

when it's supposed to be √10 / 5

Answer 11

\[\frac{2\sqrt{10}}{5\sqrt{2}*\sqrt{2}}\]

Answer 12

can you see from that?

Answer 13

\[= \frac{2\sqrt{10}}{5*2}\]

Answer 14

\[= \frac{\sqrt{10}}{5}\]