Question

1/5+3root2 rationalize the denominator​

Answer 1

$\frac{1}{5 + 3 \sqrt{2} } \times \frac{5 - 3 \sqrt{2} }{5 - 3 \sqrt{2} }$

$= \frac{5 - 3 \sqrt{2} }{( {5)}^{2} - {(3 \sqrt{2}) }^{2} }$

$= \frac{5 - 3 \sqrt{2} }{25 - (9 \times 2)}$

$= \frac{5 - 3 \sqrt{2} }{25 - 18}$

$= \frac{5 - 3 \sqrt{2} }{7}$