Question

4. Exmaine which of the following numbers are irrational i ) 5+√3​

Answer 1

Answer:

It is irrational no.

Step-by-step explanation:

PROOF(only needed if you are in 10th)-

Let us assume that 5+√3​ is rational

Then ,

5+√3​ = a/b

√3 = a/b - 5

√3​​ = a-5b/b

Here ,

a , b and 5 are integers so , a-5b/b is rational

which gives us √3​ is rational

Which is a contradiction to the fact that √3​ is irrational

so 5+√3​ is irrational.