Question

Proove that 2√3-1 is an irrational number

Answer 1

Step-by-step explanation:

2×√3-1

=2-1×√3

=1×√3

=√3

therefore √3 is an irrational numbers

Answer 2

Step-by-step explanation:

Let assume 2√3-1 as a rational no.

2√3-1 = a/b

2√3 = a/b + 1

2√3 = a+b/b

√3 = a+b/2b

thus it shows that a+b/2b is a common factor to √3 which means that √3 is a rational no.

but its a contrary as we know that √3 is irrational. Thus our assumption was wrong.

Hence, it is proved that 2√3-1 is an irrational no.

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