Rationalise the denominator of 1/((8 + 5√2))
Last updated at August 14, 2026 by Teachoo
Rationalising
Rationalising denominator of irrational number
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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
Transcript
Rationalise the denominator of 1/((8 + 5√2)) We have 1/((8 + 5√2)) = 1/((8 + 5√2)) × ((8 − 5√2))/((8 − 5√2)) = ((8 − 5√2))/((8)^2 − (5√2)^2 ) = ((8 − 5√2))/(64 − 50) = ((𝟖 − 𝟓√𝟐))/𝟏𝟒
