anonymous
  • anonymous
How do I simplify this expression: 2√5 / 5√2? I got 2√10 / 10 but the answer is √10 / 5... how?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I tried 2√5 / 5√2 = 2√5 / 5√2 = √2 / √2
anonymous
  • anonymous
don't worry, 2sqrt(10) / 10 = sqrt(10)/5
anonymous
  • anonymous
you just simplify

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anonymous
  • anonymous
what?
King
  • King
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
  • anonymous
why?
anonymous
  • anonymous
Don't I do this: 2√5 2√5 √2 ---- = ----- x ---- 5√2 5√2 √2
anonymous
  • anonymous
yes, called rationalizing the denominator
anonymous
  • anonymous
yes. But I got 2√10 / 10 D:
anonymous
  • anonymous
when it's supposed to be √10 / 5
anonymous
  • anonymous
\[\frac{2\sqrt{10}}{5\sqrt{2}*\sqrt{2}}\]
anonymous
  • anonymous
can you see from that?
anonymous
  • anonymous
\[= \frac{2\sqrt{10}}{5*2}\]
anonymous
  • anonymous
\[= \frac{\sqrt{10}}{5}\]

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