Question

prove that 5-√3 is irrational.​

Answer 1

Answer:

√3 is irrational and as we know that whenever irrational number is operated with rational number

Step-by-step explanation:

Then answer is irrational.

Answer 2

Step-by-step explanation:

let's assume that it is a rational no.

therefore, 5-√3 = p/q

=> 5=√3+ p/q

=> √3q+p

---------- = 5

q

=> √3q + p = 5q

=> p = 5q - √3q

Here p is greater than q.

But in rational terms, p is greater than or equal to q

Thus our assumption is wrong.

Therefore, 5 - √3 is irrational number.

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