Question

By rationalizing the denominator of 1 / (7+3 root 2) , we get:​

Answer 1

Answer:1/7+3√2

=1/7+3√2× 7-3√2/7-3√2

=7-3√2/ (7+3√2)(7-3√2)

=7-3√2/(7)^2-(3√2)^2

=7-3√2/49-18

=7-3√2/31

Explanation:

Answer 2

Answer:

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

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

using identity, (a+b)(a-b) = a² - b² .

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

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