Question

1/3+√2 , Rationalise the denominators of the given numbers.

Answer 1

$\bold{Answer :}$

To rationalize the denominator of the given number, we multiply both the numerator and the denominator by the conjugate irrational number (3 - √2)

Now, 1/(3 + √2)

= (3 - √2)/{(3 + √2)(3 - √2)}

= (3 - √2)/(9 - 2)

= (3 - √2)/7,

which is the required form

#$\bold{MarkAsBrainliest}$

Answer 2

$= \frac{1}{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} } \\ = \frac{3 - \sqrt{2} }{(3)^{2} - ( \sqrt{2} )^{2} } \\ = \frac{3 - \sqrt{2} }{9 - 2} \\ = \frac{3 - \sqrt{2} }{7}$