$\dfrac{1}{3 - \sqrt{2}}$ rationalised equals

$\dfrac{1}{3 - \sqrt{2}}$ rationalised equals
  1. $\dfrac{3 + \sqrt{2}}{7}$
  2. $3 + \sqrt{2}$
  3. $\dfrac{3 - \sqrt{2}}{7}$
  4. $\dfrac{1}{7}$

Solution

Multiply by $\dfrac{3 + \sqrt{2}}{3 + \sqrt{2}}$. Denom $= 9 - 2 = 7$. Result: $\dfrac{3 + \sqrt{2}}{7}$.

Asked in: MH-SSC-9

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