Question

prove that 7+√3 is irrational numbers
plz answer this question with explaintaion and a right answer​

Answer 1

Answer:

yes,7+√3 is irrational numbers.

Step-by-step explanation:

we can assume that 7+√3 is a rational numbers to the contrary.

we can find coprime p and q (q is not equal to 0)

rearranging, we get 7+√3=p/q

√3=p/q-7

since p,q and 7 are integers,p/q-7 is rational,and so √3 is rational.

but this contradicts the fact that √3 is irrational.

so,we conclude that 7+√3 is irrational.