Question

rationalize the denominator of root 5by root 6+root 2​

Answer 1

Step-by-step explanation:

√5. √5. √6-√2. √30-√2

------------- = ----------- × ----------------- = --------------

√6+√2. √6+√2. √6-√2. 6-2

= √30-√2

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4

Answer 2

Answer:

$\frac{ \sqrt{5} }{6 + \sqrt{2} } \times \frac{6 - \sqrt{2} }{6 - \sqrt{2} } \\ = \frac{6 \sqrt{5} - \sqrt{10} }{ {6}^{2} - { \sqrt{2} }^{2} } \\ = \frac{6 \sqrt{5} - \sqrt{10} }{36 - 2} \\ = \frac{6 \sqrt{5} - \sqrt{10} }{34}$