Question

prove that 2+√3÷5 is an irrational number, given that √3 is an irrational number.​

Answer 1

Answer:

let us assume that (2+√3)/5 is a rational number

and is equal to p/q where p and q are integrs and q is not equal to 0.

so ,

(2+√3)/5 = p/q

2+√3= 5p/q

√3= 5p/q-2

now p/q is rational so 5p/q-2 is rational but it is given that √3 is irrational .

so we arrive at contradiction

hence (2+√3)/5 is a rational number.

hope it helps you

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Answer 2

Answer:

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