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

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Answer 1 · 2017-05-30T12:50:04

See below.

To simplify, we have to multiply by the conjugate of the denominator, or $5-sqrt2$ .

$sqrt5/(5+sqrt2)\cdot(5-sqrt2)/(5-sqrt2)=(5sqrt5-sqrt10)/(25-2)=(5sqrt5-sqrt10)/(23)$

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