Question

prove that 5 + root 3 is iraaational number​

Answer 1

Answer:

Let us assume the given number be rational and we will write the given number in p/q form

⇒5−

3

=

q

p

⇒

3

=

q

5q−p

We observe that LHS is irrational and RHS is rational, which is not possible.

This is contradiction.

Hence our assumption that given number is rational is false

⇒5−

3

is irrational

Answer 2

Step-by-step explanation:

5-root=p/q

it implies root 3 is rational number

5+root 3 is irrational

but this contradicts to the fact that root 3 is irrational.hence our supposition was wrong

therefore 5-root 3 is irrational...

⭐⭐hope this answer is helpful