Proving Square Root of 3 is Irrational number | Sqrt (3) is Irrational number Proof
In this video, Irrationality theorem is explained and proof of sqrt(3) is irrational number is illustrated in detail.More emphasis is laid on rational numbers, co-primes, assumption and contradiction of assume statement.
Irrational Numbers Defination:
A number ‘s ’ is called irrational if it cannot be written in the form,p/q where p and q are integers and q is not 0.
Fundamental Theorem of Arithmetic.
Let p be a prime number. If p divides a^2, then p divides a, where a is a positive integer.
00:02 Prove that sqrt(3) is irrational.
00:16 Assume contrary of given statement.
That is sqrt(3) is rational number which can be expressed in the for of p/q.Where p and q are
02:11 We get p and q are not co-prime.This bring contradiction to our statement.
02:30 Contardiction to assumption
02:35 sqrt(3) is irrational
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