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What is the simplified version of this?(√(2) )/(3+√(5) )

What is the simplified version of this?(√(2) )/(3+√(5) )
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21 votes
What is the simplified version of this?
(√(2) )/(3+√(5) )

User Csaba Benko
by
6.8k points

1 Answer

4 votes

Answer:

  • (3√2 - √10)/4

Explanation:

Simplify, rationalize the denominator

  • √2/(3 + √5) =
  • √2(3 - √5)/(3 + √5) (3 - √5) =
  • (3√2 - √10)/(3² - 5) =
  • (3√2 - √10)/4
User Yuliia Ashomok
by
8.2k points
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