Class 9 Exam > Class 9 Notes > RD Sharma Solutions for Class 9 Mathematics > RD Sharma Solutions Ex-3.1, Rationalisation, Class 9, Maths
RD Sharma Solutions Ex-3.1, Rationalisation, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics PDF Download
Q. 1. Simplify each of the following:
Sol:
= 41
= 4
= 15
Q. 2. Simplify the following expressions:
Solution:
Q. 3. Simplify the following expressions:
Solution:
As we know, (a + b) (
So, 112 – 11
121 –11 = 110
As we know, (a + b) (a - b) = (a2−b2)
So, 52 – 7
25 – 7 = 18
As we know, (a + b) (a - b) = (a2−b2)
= 6
As we know, (a + b) (a - b) = (a2−b2)
= 6
As we know, (a + b) (a - b) = (a2−b2)
= 5 – 2
= 3
Q. 4. Simplify the following expressions:
Solution:
As we 
As we know, (
As we know, (a + b)2 = (a2+2×a×b+b2)
The document RD Sharma Solutions Ex-3.1, Rationalisation, Class 9, Maths | RD Sharma Solutions for Class 9 Mathematics is a part of the Class 9 Course RD Sharma Solutions for Class 9 Mathematics.
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FAQs on RD Sharma Solutions Ex-3.1, Rationalisation, Class 9, Maths - RD Sharma Solutions for Class 9 Mathematics
| 1. What is Rationalisation? |  |
Ans. Rationalisation is the process of converting an irrational number or an expression with irrational terms into a rational number or an expression with rational terms by multiplying or dividing by a suitable rational number or expression.
| 2. Why do we need to rationalize denominators? | |
Ans. We need to rationalize denominators to simplify and make expressions or fractions easier to work with. It helps in performing mathematical operations more efficiently and accurately.
| 3. How do we rationalize the denominator of a fraction? | |
Ans. To rationalize the denominator of a fraction, we multiply both the numerator and denominator by a suitable expression so that the denominator becomes rational. This is usually done by multiplying the fraction by its conjugate.
| 4. What is the conjugate of a binomial expression? | |
Ans. The conjugate of a binomial expression is obtained by changing the sign of the second term. For example, the conjugate of (a + b) is (a - b).
| 5. Can we rationalize any irrational number? | |
Ans. Yes, we can rationalize any irrational number by multiplying it with its conjugate. However, it is important to note that rationalizing an irrational number does not change its value, but it makes the expression or number easier to work with.
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