Question

Prove that f4-5J3 is an irrational number​

Answer 1

Answer:

To prove that 4-5√3 is an irrational number, we will use the contradiction method.

Let us assume that 4 - 5√3 is a rational number with p and q as co-prime integers and q ≠ 0

⇒ 4 - 5√3 = p / q

⇒ 5√3 = 4 - p / q

⇒ √3 = (4q - p) / 5q

⇒ (4q - p) / 5q is a rational number

However, √3 is in irrational number

This leads to a contradiction that 4 - 5√3 is a rational number

Thus, 4 - 5√3 is an irrational number by contradiction method

Answer 2

Answer:

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