Question

prove 5+3√3 irrational​

Answer 1

Answer:

8✓3 is your answer

Step-by-step explanation:

you can search it from gugle

sorry for gugle wrong spelling because brainly not accept gugle name in the app.

Answer 2

Question: prove 5+3√3 irrational

Step by step explanation:

Let us assume the contrary.

i.e; 5 + 3√3 is rational

∴ 5 + 3√3 = a/b, where ‘a’ and ‘b’ are coprime integers and b ≠ 0

3√3 = a/b – 5

3√3 = (a−5b)/b

Or,

√3 = (a−5b)/3b

Because ‘a’ and ‘b’ are integers (a−5b)/3b is rational

That contradicts the fact that √3 is irrational.

The contradiction is because of the incorrect assumption that (5 + 3√3) is rational.

So, 5 + 3√3 is irrational.