sum-and-product-of-rational-and-irrational-numbers-is-irrational-proving-irrational-numbers

Sum and Product of rational and irrational numbers is Irrational | Proving Irrational numbers

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/

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.

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.

00:02 Q3. Prove that the following are irrationals :

(i)1/sqrt(2) (ii)7sqrt(5) (iii) 6+sqrt(2)

00:20 prove 1/sqrt(2) is irrational number

00:25 Assume contrary of given statement.Take 1/sqrt(2) is rational.It can be expressed in the for of p/q.Where p and q are prime numbers.

01:08 we get sqrt(2) is rational which is false.

This is because of our wrong assumption.

01:32 Thus 1/sqrt(2) is irrational number is proved

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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

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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