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Simplify by rationalising: $\frac{2}{5 + 3} + \frac{3}{5 - 3}$ .
Write the result in the form p $5 +$ q $3$ and give p.

Class 9Rationalising the DenominatorNumber Systems

A2.5
B5
C3.5
D1.5

Step-by-Step Solution

First

= 2 \frac{5 - 3}{2} = 5 - 3

. Second

= 3 \frac{5 + 3}{2} = (\frac{3}{2}) (5 + 3)

. Sum

= 5 - 3 + 1.5 5 + 1.5 3 = 2.5 5 + 0.5 3

. So

p = 2.5

.

Answer: A) 2.5

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