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Rationalise and simplify: $\frac{5 + 3}{5 - 3}$ .

Class 9Rationalising the DenominatorNumber Systems

A $4 + 15$
B $\frac{8 + 2 15}{2}$
C $4 - 15$
D $8 + 215$

Step-by-Step Solution

Multiply top and bottom by

(5 + 3)

: numerator

(5 + 3)^{2} = 5 + 215 + 3 = 8 + 215

; denominator 5 - 3 = 2. Result

= \frac{8 + 2 15}{2} = 4 + 15

.

Answer: A)

4 + 15

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