1.

Rationalize the denominator: 1/√5−√4

Answer»

Step-by-step EXPLANATION:

\frac{1}{ \sqrt{5} - \sqrt{4} } \\ \\ = \frac{1}{ \sqrt{5} - \sqrt{4} } \times \frac{ \sqrt{5} + \sqrt{4} }{ \sqrt{5} + \sqrt{4} } \\ \\ = \frac{ \sqrt{5} + \sqrt{4} }{ { \sqrt{5} }^{2} - { \sqrt{4} }^{2} } = \frac{ \sqrt{5} + \sqrt{4} }{5 - 4 } \\ \\ = \frac{ \sqrt{5} + \sqrt{4} }{1} = \sqrt{5} + \sqrt{4}


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