Question

prove that 3 -5√3 is an irrational number​

Answer 1

Answer:

3– 5√3

Now, let us assume 3 – 5√3 be a rational number, ‘r’

So, 3 – 5√3 = r

3 – r = 5√3

(3 – r)/5 = √3

We know that, ‘r’ is rational, ‘(3 – r)/5’ is rational, so ‘√3’ is also rational.

This contradicts the statement that √3 is irrational.

So, 3 – 5√3 is irrational number.

hope it helps

Answer 2

Answer:

Thanks and follow Karen.

Step-by-step explanation:

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