Question

1) Rationalise the denomination of 5/√3-√5

2) Rationalise the denomination of 1/7+3√2​

Answer 1

Answer:

2.

$\frac{1}{7 + 3 \sqrt{2} } \times \frac{7 - 3 \sqrt{2} }{7 - 3 \sqrt{2} }$

$= \frac{7 - 3 \sqrt{2} }{49 - 18}$

$= \frac{7 - 3 \sqrt{2} }{31}$

$= \frac{7}{31} - \frac{3 \sqrt{2} }{31}$