Question

show that 2√3-1 is a irrational number​

Answer 1

Answer:

we will get 2√3-1 is an irrational number.

Step-by-step explanation:

Let assume that 2√3-1 be a rational number.

Therefore we can represent it in the form of p/q where p and q are integers and q is not equal to zero.

so, 2√3-1=p/q

adding 1 both sides, we get,

2√3=p/q+1

then dividing by 2 in both sides, we get,

√3=(p+q)/2q

according to our assumption, (p+q)/2q should be a rational number. But we know that √3 is an irrational number.

Thus , our assumption is wrong i.e.

2√3-1 is not a rational number rather it is an irrational number.(hence proved)