Question

rationalise the denominator of √6-√5/√6+√5​

Answer 1

√6-√5/√6+√5 * √6-√5/√6-√5

(6 - 2√30 + 5)/6-5

11-2√30

Answer 2

Answer:

11 - $\sqrt{60}$

Step-by-step explanation:

${\frac{\sqrt{6} - \sqrt{5} }{\sqrt{6} + \sqrt{5} } }$

${\frac{\sqrt{6} - \sqrt{5} }{\sqrt{6} + \sqrt{5} } } X \frac{\sqrt{6} - \sqrt{5} }{\sqrt{6} - \sqrt{5} }$ = $\frac{ \sqrt{6} [ \sqrt{6} - \sqrt{5 ] } - \sqrt{5} [ \sqrt{6} - \sqrt{5} ]}{ \sqrt{6}^{2} - \sqrt{5} ^{2} }$

= $\frac{6 - \sqrt{30} - \sqrt{30}+ 5 }{6-5}$

= $\frac{11 - \sqrt{60} }{1}$ = 11 - $\sqrt{60}$

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