proof-that-square-root-of-prime-number-is-irrational-sqrt5-is-irrational-number-proof

# Interactive video lesson plan for: Proof that square root of prime number is irrational | Sqrt(5) is irrational number proof

#### Activity overview:

Proof that square root of prime number is irrational | Sqrt(5) is irrational 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/

00:02 Q1. Prove that sqrt(5) is irrational.
00:40 Assume contrary of given statement.
That is sqrt(5) is rational number which can be expressed in the for of p/q.Where p and q are prime numbers.
We get p and q are not co-prime.This bring contradiction to our statement.
02:51 Contardiction to assumption
03:00 sqrt(5) is irrational.

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.

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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
irrational numbers proofs
proof that sqrt 2 is irrational
Proof that square root of prime number is irrational

Tagged under: ncert solutions,learncbse.,gyanpub,Fundamental Theorem Arithmetic,Irrational Numbers Defination,prime numbe, divides ,Irrational Numbers,sqrt(5),Prove ,irrational number proof,Proof square root prime number irrational

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