Kamdyn1175 Kamdyn1175

19-02-2021
Mathematics

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What is the simplified version of this?[tex]\frac{\sqrt{2} }{3+\sqrt{5} }[/tex]

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mhanifa mhanifa

19-02-2021

Answer:

(3√2 - √10)/4

Step-by-step explanation:

Simplify, rationalize the denominator

√2/(3 + √5) =
√2(3 - √5)/(3 + √5) (3 - √5) =
(3√2 - √10)/(3² - 5) =
(3√2 - √10)/4

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