Question

Show that 3√5 +4 is not a rational number

Answer 1

Step-by-step explanation:

let 3√5 +4 is a rational number

since ,

3√5+4=p/q

3√5=p/q-4

3√5=p-4q/q

√5=p-4q/3q

hence,

p/q is a rational number

since,

p-4q/3q is also a rational number

therefore,

√5 is also a rational number

but we know that √5 is a irrational number

so this contradiction our assumption

therefore, 3√5+4. is a irrational number

hence proved/

hope this helps you