Question

Prove that 5+24√3 is an irrational number.

Answer 1

Answer:

here is your answer bro

Step-by-step explanation:

let 5+24-√3 is a rational no.

5+24√3=a÷b

24√3=a÷b-5

√3=a÷b-5÷24

irr.=rat.

which is a contradiction

so,5+24√3 is a irrational no.

!!!hope it helps!!!

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Answer 2

Let 5+24√3 is rational

Now,

5+24√3=a/b,a and b are integers, b not equal to 0

24√3 =a/b-5

24√3 =a-5b/b

We know that,

a-5b/b or rational

But, 24√3 is irrational

So, our supposition is wrong

Which is by contradiction

Therefore, 5+24√3 is irrational

Hence proved

Hope this will help you!!!!

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