Question

Rationalise the denominators.
a) 3/ 7-root2

Answer 1

Answer:

$\frac{3}{7 - \sqrt{2} } \times \frac{7 + \sqrt{2} }{7 + \sqrt{2} } = \frac{3(7 + \sqrt{2)} }{ {(7 - \sqrt{2)} }^{2} }$

$\frac{3(7 + \sqrt{2)} }{49 - 2} = \frac{3(7 + \sqrt{2)} }{47}$