1.

Rationalise the denominator 3/(7-√2)​

Answer»

ANSWER:

= \frac{3}{7 - \sqrt{2} } \times \frac{7 + \sqrt{2} }{7 + \sqrt{2} } \\ \ = frac{3(7 + \sqrt{2}) }{ {7}^{2} - ( \ { \sqrt{2}) }^{2} } \\ = \frac{21 + 3 \sqrt{2} }{49 - 4} \\ = \frac{21 + 3 \sqrt{2} }{45 } \\ = \frac{7}{15} + \frac{ \sqrt{2} }{15}

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