Learn All Concepts of Chapter 1 Class 9 - FREE. Check - Chapter 1 Class 9 Maths
Example 20 - Chapter 1 Class 9 Number Systems
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 20 Rationalise the denominator of 17 + 3 2 17 + 3 2 = 17 + 3 2 × 7 − 3 27 − 3 2 = 7 − 3 2 7 + 3 2 7 − 3 2 = 7 − 3 2 (7)2 − 3 2 2 = 7 − 3 249 − 3 ×3 × 2 × 2 = 7 − 3 249 − (9 × 2) = 7 − 3 249 − 18 = 𝟕 − 𝟑 𝟐𝟑𝟏
Rationalising
Rationalising denominator of irrational number
Add (3√2+7√3) and (√2−5√3)
Divide 5√11 by 3√33
Multiply 2√15 by 7√5
Simplify (√5+√7)^2
Simplify (√4−√13)(√4+√13)
Simplify (9−√3)(9+√3)
Simplify (3√5−5√2)(4√5+3√2)
Rationalise the denominator of 8/√7
Rationalise the denominator of 1/((8 + 5√2))
Multiple Choice Questions - Chapter 1 Class 9 Maths
Simplify (7√3)/(√10 + √3)−(2√5)/(√6 + √5)−(3√2)/(√15 + 3√2)
If a and b are rational numbers and (√11 − √7)/(√11 + √7) = a – b√77, find the value of a and b
Example 17
Example 18
Find the values of a and b if (7 + 3√5)/(3 + √5) – (7 − 3√5)/(3 − √5) = a+√5 b
Ex 1.5,5 Important
If x = 1/(2 − √3), find the value of x^3 − 2x^2 − 7x + 5
Example 19 Important
If a = 5 + 2√6 and b = 1/a, then what will be the value of a^2+b^2 ?
Example 20 You are here
Chapter 1 Class 9 Number Systems
Concept wise
- Rational numbers - Definition
- Finding rational number between two numbers
- Irrational Numbers
- Simplifying real numbers
- Rationalising
- Laws of exponents
- Finding decimal expansion
- Expressing decimal in p/q
- Classifiying rational/irrational
- Finding irrational numbers b/w two numbers
- Real numbers on a number line
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.