1.

By rationalising the denominator of \(\frac{1}{\sqrt{3}}\), we get __________(a) \(\frac{\sqrt{3}}{3}\)(b) \(\sqrt{3}\)(c) \(\frac{3}{\sqrt{3}}\)(d) \(3\sqrt{3}\)This question was posed to me at a job interview.The question is from Representing Real Numbers on the Number Line & Real Numbers Operations in division Number Systems of Mathematics – Class 9

Answer»

The correct option is (a) \(\frac{\SQRT{3}}{3}\)

EXPLANATION: When the denominator of an expression contains a term with a square root, the process of converting it to an equivalent expression WHOSE denominator is a rational number is CALLED rationalising the denominator.

By multiplying \(\frac{1}{\sqrt{3}}\) by \(\frac{\sqrt{3}}{\sqrt{3}}\), we will get same expression SINCE \(\frac{\sqrt{3}}{\sqrt{3}}\) = 1.

Therefore, \(\frac{1}{\sqrt{3}} = \frac{1}{\sqrt{3}} * (\frac{\sqrt{3}}{\sqrt{3}}) = \frac{\sqrt{3}}{3}\).


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