Question

Prove that 5 √3-4 is irrational.

Answer 1

Answer:

Let 4-5√3 be a rational number.

4-5√3= a/b where a and b are co primes

-5√3=a/b-4

-5√3=a-4b/b

a-4b/b+5=√3

But this contradiction is wrong therefore 4-5√3 is a irrational number.

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