Question

Rationalize the denominator of the following: √5+√2/√5-√2​

Answer 1

Step-by-step explanation:

√5 - 2/ √ 5 + 2 * √5 - 2 / √5 - 2

(√5 - 2)^2 / 5 - 4

5 + 4 - 2*2*√5 / 1

9 - 4 √5

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Answer 2

Answer:

$\frac{ \sqrt{5} + \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \times \frac{ \sqrt{5 } - \sqrt{2} }{ \sqrt{5 - } \sqrt{2} } = \\ \\ \frac{7 + 2 \sqrt{20} }{3}$