Question

Show that 4 2 is an irrational number.
slyadub
) Prove that 3 + V5 is an irrational number.
Represent the numbers 15 and 10 on a number line.
Write
any three rational numbers between the two numbers given below.
(i) 0.3 and -0.5 (ii) -2.3 and -2.33
(iii) 5.2 and 5.3 (iv) 4.5 and -4.6

please answer me fast
who will answer first I will mark me as brainlisit​

Answer 1

Answer:

ANSWER

(a) Assume that,

4

2

is a rational number.

Then, there exists coprime positive integers p & q such that

4

2

=

q

p

2

=

4q

p

(∵ p & q are integers)

⇒

4q

p

is rational

⇒

2

is rational

This contradict the fact that

2

is irrational. so our assumption is incorrect.

Hence 4

2

is irritational