cbse-class-10-maths-solutions-real-numbers-exercise-13-ncert-solutions-real-numbers

# Interactive video lesson plan for: CBSE Class 10 maths solutions Real Numbers Exercise 1.3 | NCERT Solutions Real Numbers

#### Activity overview:

CBSE Class 10 maths solutions Real Numbers Exercise 1.3 | NCERT Solutions 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.
Before we prove that sqrt(2) is irrational, we need the following theorem, whose
proof is based on the 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.

Proving Irrational numbers

00:02 NCERT solutions for CBSE class 10 maths Real Numbers Ex 1.3 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

03:25 NCERT solutions for CBSE class 10 maths Real Numbers Ex 1.3 Q2. Prove that 3+2sqrt(5) is irrational.
03:35 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.
05:10 We get sqrt(5) is rational number which is false.
05:20 Thus our assumption is false.
05:25 3+2sqrt(5) is irrational.

05:48 NCERT solutions for CBSE class 10 maths Real Numbers Ex 1.3 Q3. Prove that the following are irrationals :
(i)1/sqrt(2) (ii)7sqrt(5) (iii) 6+sqrt(2)
06:03 prove 1/sqrt(2) is irrational number
06:10 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.
06:55 we get sqrt(2) is rational which is false.
This is because of our wrong assumption.
07:18 Thus 1/sqrt(2) is irrational number is proved

prove 7sqrt(5) is irrational number
07:30 Assume contrary of given statement.Take 7sqrt(5) is rational.It can be expressed in the for of p/q.Where p and q are prime numbers.
08:30 we get sqrt(5) is rational which is false.
This is because of our wrong assumption.
08:57 Thus 7sqrt(5) is irrational number is proved.

prove 6+sqrt(2) is irrational number
09:16 Assume contrary of given statement.Take 6+sqrt(2) is rational.It can be expressed in the for of p/q.Where p and q are prime numbers.
10:09 we get sqrt(2) is rational which is false.
This is because of our wrong assumption.
10:47 Thus 6+sqrt(2) is irrational number is proved

11:00 Prove that sqrt(2) is irrational.
11:21 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.
13:28 We get p and q are not co-prime.This bring contradiction to our statement.
13:35 Contardiction to assumption
13:55 sqrt(2) is irrational

14:07 Prove that sqrt(3) is irrational.
14:21 Assume contrary of given statement.
That is sqrt(3) is rational number which can be expressed in the for of p/q.Where p and q are
16:16 We get p and q are not co-prime.This bring contradiction to our statement.
16:35 Contardiction to assumption
16:42 sqrt(3) 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
proving Irrational Numbers
Proof that square root of prime number is irrational

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