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Two students simplify $\frac{3 + 1}{3 - 1}$ by rationalising.
The correct simplified value is:

Class 10Irrational NumbersNumber Systems

A $2 + 3$
B $2 - 3$
C $1 + 3$
D $4 + 3$

Step-by-Step Solution

Multiply numerator and denominator by

(3 + 1)

: numerator =

(3 + 1)^{2} = 4 + 23

; denominator = 3 - 1 = 2. So value =

\frac{4 + 2 3}{2} = 2 + 3

.

Answer: A)

2 + 3

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