students who are in class 10 and studing NCERT Books can refer these solutions.
In this exercise you will learn how to prove the irrationality of given numbers.
A number is irrational if it cannot be written in the form of p/q where p and q are integers and q ≠ 0 or we can say that the number which is not a rational number then it is a irrational number.
to prove this irrationality we use this theorem-
Let p be a prime number. if p divides a² then p divides a where a is a positive integer.
All the proofs are based on a technique called " Proof by contradiction".
some rules which you have studied in class 9th :
The sum or difference of a rational and an irrational number is irrational number.
The product and quotient of a non zero rational and irrational number is irrational.
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