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

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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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

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ICSE Class 10 Maths

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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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