# Interactive video lesson plan for: Proving Square Root of 2 is Irrational number | Sqrt 2 is Irarational number Proof

#### Activity overview:

Proving Square Root of 2 is Irrational number | Sqrt 2 is Irarational number Proof

http://www.learncbse.in/ncert-class-10-math-solutions/
http://www.learncbse.in/ncert-solutions-class-10th-maths-chapter-1-real-numbers/
http://www.learncbse.in/rd-sharma-class-10-solutions-chapter-1-real-numbers/

In this video, Irrationality theorem is explained and proof of sqrt(2) 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(2) is irrational.
00:21 Assume contrary of given statement.
That is sqrt(2) is rational number which can be expressed in the for of p/q.Where p and q are prime numbers.
02:28 We get p and q are not co-prime.This bring contradiction to our statement.
02:35 Contardiction to assumption
02:55 sqrt(2) is irrational.
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learncbse.in
CBSE solutions for class 10 maths Chapter 1 Real Numbers Exercise 1.4
CBSE class 10 maths NCERT Solutions Chapter 1 Real Numbers Exercise 1.2 | Euclid Division Lemma
CBSE class 10 maths NCERT Solutions Chapter 1 Real Numbers
Solutions for CBSE class 10 Maths Real Numbers
NCERT solutions for class 10 maths Real Numbers
NCERT solutions for CBSE class 10 maths Real Numbers
CBSE class 10 maths Solutions Real Numbers Exercise 1.4
Common core Math Real Numbers
ICSE Class 10 Maths

proving Irrational Numbers
irrational numbers property
is the square root of 2 a rational number
Proof that square root of prime number is irrational

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