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