Question

rationalize the denominator of 1 / root 3 - root 15​

Answer 1

Step-by-step explanation:

$\frac{1}{ \sqrt{3} - \sqrt{5} }$

$\frac{1}{ \sqrt{3} - \sqrt{5} } \times \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} + \sqrt{5} }$

$\frac{ \sqrt{3} + \sqrt{5} }{( { \sqrt{3}) }^{2} - ( { \sqrt{5}) }^{2} }$

$\frac{ \sqrt{3} + \sqrt{5} }{3 - 5}$

$\frac{ \sqrt{3} + \sqrt{5} }{ - 2}$

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