Question

ratinalise the denominator of 1/3+✓2
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Answer 1

Answer:

1/3+root2

1(3-root2)/(3+root2)(3-root2)

3-root2/(3)^2-(root2)^2

3-root2/9-2

3-root2/7

hope this helps

Answer 2

Question -

$rationalise \: the \: denominator \: of \\ \frac{1}{3 + \sqrt{2} }$

Solution -

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

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

$= \frac{3 - \sqrt{2} }{ {3}^{2} - { \sqrt{2} }^{2} }$

$= \frac{3 - \sqrt{2} }{9 - 2}$

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