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Rationalise $\frac{1}{3 + 1}$ by multiplying by the conjugate.
Which expression results?

Class 9Rational and Irrational NumbersNumber Systems

A $\frac{3 - 1}{2}$
B $\frac{3 + 1}{2}$
C $3 - 1$
D $\frac{3 - 1}{4}$

Step-by-Step Solution

Multiply by

(3 - 1)

: numerator =

3 - 1

, denominator =

(3)^{2} - 1^{2} = 3 - 1 = 2

. So result is

\frac{3 - 1}{2}

.

Answer: A)

\frac{3 - 1}{2}

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