Practice30 Create account

Evaluate by rationalising each term: $\frac{1}{1 + 2} + \frac{1}{2 + 3}$ .
(Each denominator differs by 1 inside the surds.)

Class 9Rationalising the DenominatorNumber Systems

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

Step-by-Step Solution

\frac{1}{1 + 2} = \frac{2 - 1}{2 - 1} = 2 - 1. \frac{1}{2 + 3} = \frac{3 - 2}{3 - 2} = 3 - 2

. Sum

= (2 - 1) + (3 - 2) = 3 - 1

.

Answer: A)

3 - 1

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Rationalising the Denominator practice questions

More Class 9 Rationalising the Denominator practice

If 5 - √35 + √3 = a - b √3, find a (in lowest terms numerator form, a = p/q means give…Simplify by rationalising: 2√5 + √3 + 3√5 - √3. Write the result in the form p √5 + q √3…If x = √3 - 1√3 + 1 and y = √3 + 1√3 - 1, find x + y.If x = √3 - 1√3 + 1 = 2 - √3 and y = √3 + 1√3 - 1 = 2 + √3, find the value of x*y.The rationalising factor (conjugate) of (3 + √2) is: