Question

6. prove that 2√3-1 is an rational number​

Answer 1

Answer:

Let we assume that 2√3-1 is a rational number, where it is in the form of p/q form, p and q are co primes and q is not equal to 0.

• 2√3-1=p/q
• 2√3=p/q-1
• √3=p/q-1/2

√3 is irrational number

p/q-1/2 is a rational number

We know that, rational is not equal to irrational number.

So, it is our contradiction due to wrong assumption.

SO, 2√3-1 IS A IRRATIONAL NUMBER

HENCE PROVED.......

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