How do you simplify $(2 sqrt5 )/ (sqrt2 +5)$ ?

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How do you simplify $(2 sqrt5 )/ (sqrt2 +5)$ ?

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Answer 1 · 2018-03-19T20:04:27

(2sqrt(10)-10sqrt(5))/27)

Explanation:

Use the conjuguate first :
$(2sqrt(5))/(sqrt(2)+5)=(2sqrt(5)(sqrt(2)-5)) /((sqrt(2)+5)(sqrt(2)-5))$
Also $(a+b) (a-b) =a²-b²$ , so finally :
$(2sqrt(5))/(sqrt(2)+5)=(2sqrt(10)-10sqrt(5)) /27$

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How do you simplify $(2 sqrt5 )/ (sqrt2 +5)$ ?

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How do you simplify (2 sqrt5 )/ (sqrt2 +5) (2 sqrt5 )/ (sqrt2 +5)?

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How do you simplify $(2 sqrt5 )/ (sqrt2 +5)$ ?