Practice30 Create account

A length is given as $\frac{1}{3 - 7}$ metres.
After rationalising the denominator, the expression $a + b 7$ is obtained.
What is the value of $a + b$ ?

Class 9Rationalising the DenominatorNumber Systems

A4
B3
C2
D1

Step-by-Step Solution

\frac{1}{3 - 7} x \frac{3 + 7}{3 + 7} = \frac{3 + 7}{9 - 7} = \frac{3 + 7}{2} = \frac{3}{2} + (\frac{1}{2}) 7 . S o a = \frac{3}{2}, b = \frac{1}{2}, a + b = 2

.

Answer: C) 2

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

Rationalise and simplify: √5 + √3√5 - √3.Evaluate by rationalising each term: 11 + √2 + 1√2 + √3. (Each denominator differs by 1…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.