Question

1/(5+3√2)rationalise the denominator​

Answer 1

Answer:

1(5-3√2) / (5+3√2)(5-3√2)

= 5 - 3√2 / (5)^2 - (3√2)^2

= 5 -3√2 / 25 - 18

= 5 - 3√2 / 7

Answer 2

$\dfrac{1}{5+3{\sqrt2}} \\\\ \implies \dfrac{1}{5+3{\sqrt2}} \times {\dfrac{5-3{\sqrt2}}{5-3{\sqrt2}}} \\\\ \implies {\dfrac{5-3{\sqrt2}}{25-18}} \\\\ \implies {\dfrac{5-3{\sqrt2}}{7}}$