CBSE Class 10 Answered
show that root 3 is an irrational number
Asked by ajayrath7 | 12 Mar, 2019, 11:52: AM
Expert Answer
Let us start with the contrary, √3 is a rational number.
Hence √3 = a/b ..................(1)
where a and b are prime integers and no comman factor between a and b.
hence √3b = a
By squaring both sides, 3b2 = a2 or a2 / 3 = b2 ..............(2)
eqn.(2) shows 3 is a factor of a2 . If a is a prime number, then 3 also should be factor of a.
If 3 is a factor of a, then this contradicts the assumption we made for eqn.(1), that a is a prime number.
Hence √3 is not a rational number , it is an irrational number
Answered by Thiyagarajan K | 12 Mar, 2019, 14:52: PM
Application Videos
-
Solving linear pair of equations_Linear pair 1 ...
This video explains how to find solution of pair of linear equations in two... -
Word problems on linear equations_1
This video explains how to formulate the given word problem into pair of li... -
Word problems on linear equations_2
This video explains how to formulate the given word problem into pair of li... -
Word problems on linear equations_3
This video explains how to formulate the given word problem into pair of li... -
Word problems on linear equations_4
This video explains how to formulate the given word problem into pair of li...
Concept Videos
-
Graphical Solution to Linear Equations
This video explains the concept of linear equations in two variables and us... -
Substitution Method
This video explains the concept of substitution method to solve a pair of l... -
Elimination Method
This video explains the elimination method to solve a pair of linear equati... -
Cross Multiplication Method ...
This video explains the cross multiplication method to solve a pair of line... -
Application of linear equations that are not in standar ...
This video discusses equations reducible to linear form.
CBSE 10 - Maths
Asked by dheerrana109 | 22 Jul, 2024, 10:26: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by vishwanathhikkalagutti | 17 Jul, 2024, 07:25: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by avadheshkumar94 | 13 Jul, 2024, 20:18: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by 3ra2231 | 11 Jul, 2024, 20:55: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by avadheshkumar94 | 10 Jul, 2024, 10:14: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by syashkurun | 08 Jul, 2024, 19:14: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by francissaka528 | 08 Jul, 2024, 06:15: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by radhe9868017031 | 05 Jul, 2024, 14:10: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by naidulokesh892 | 04 Jul, 2024, 20:42: PM
ANSWERED BY EXPERT
