How to solve Irrational Numbers?

The best way of understanding how can we solve irrational number is given below. Friends First we discuss about irrational number:- An irrational number is any number that is real but not rational and cannot be expressed as a simple fraction or non repeating decimal. Most of irrational number the set of all rational number and take more space in column or decimal. Some Example of Irrational Numbers are:- 2, 5,6,7, ?3.14). The square root of any prime number is irrational. Irrational number cannot be obtained by dividing one integer by another. So -1/3=-0.333 is not a irrational because it is obtained by the ratio of two integer. 1 and 3. Irrational number cant have a finite decimal expression.

Now, we discuss on some equation to solve the irrational number. We assuming that 3 is an rational number i.e 3=a/b equation (1) Where a and b are integers having no common factor (b`0) on squaring both side (3)2= (a/b)2 3= a2/b2 equation (2) 3b2=a2 equation (3) Where a and b are both odd number and a/b reduce to smallest possible terms. It is not possible that a and b are even because if a and b are even one can always be divided by 2 as we assume a/b is an Rational Numbers a=2m+1 Assuming a and b are odd b=2n+1 by putting the value of a and b in eq 3 : 3(2n+1)2= (2m+1)2 3(4n2+1+4n)= (2m2+1+4m) 12n2+3+12n=4m2+1+4m 12n2+12n+2=4m2+4m 6n2+6n+1=2m2+2m 6n2+6n+1=2(m2+n) In this equation all the value of m is always odd and the value of n is always n for all values s so this equation has no solution. Our assumption a and b are odd in invalid so we can say that root of 3 is an irrational number. In above articles we discuss about how to solve irrational numbers.