Properties of Irrational Numbers


 
 
Concept Explanation
 

Properties of Irrational Numbers

Following are some useful results on irrational numbers, we state these results as theorems.

Theorem 1 Negative of an irrational number is an irrational number.

Proof:  Let x be an irrational number. Then, we have to show that -x is also an irrational number. If possible, let -x be a rational number.

We know that the negative of a rational number is also a rational number.

large therefore    -x is a rational number

large Rightarrow ;;-(-x) is a rational number.

large Rightarrow     x is a rational number

This contradicts the fact that x is irrational.

Hence, -x is an irrational number.

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

large sqrt{10}Xsqrt{15}    is equal to

Right Option : A
View Explanation
Explanation
Question : 2

“Sum of two irrational numbers is an irrational number”. Is this statement true?

Right Option : B
View Explanation
Explanation
Question : 3

The decimal expansion of the number sqrt{2} is :

Right Option : D
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 


Students / Parents Reviews [20]