# Interactive video lesson plan for: Addition Operation with Rational and Irrational Numbers | Irrational numbers proof

#### Activity overview:

Addition Operation with Rational and Irrational Numbers | Irrational numbers proof.

Sum of an irrational number and an irrational number is irrational.

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.One can understand Sum of an irrational number and an irrational number is irrational.

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 Q2. Prove that 3+2sqrt(5) is irrational.
00:10 Assume contrary of given statement.Take 3+2sqrt(5) is rational.It can be expressed in the for of p/q.Where p and q are prime numbers.
01:35 We get sqrt(5) is rational number which is false.
01:55 Thus our assumption is false.
02:00 3+2sqrt(5) 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
irrational numbers proofs
proof that sqrt 2 is irrational
prove that root 3 is irrational
prove irrationality
prove sqrt 3 is irrational
prove that square root of 3 is irrational
is the square root of 2 a rational number

Proof that square root of prime number is irrational

Tagged under: ncert solutions,learncbse.,gyanpub,Irrational Numbers,Real Numbers,prove irrationality,square root 3 irrational,Addition Operation,Rational Irrational Numbers,Irrational numbers proof,square root prime number irrational,Fundamental Theorem Arithmetic,Sum irrational number irrational number irrational

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