Question

√5 + 1 prove that following are irrational number​

Answer 1

Answer:

Prove That Root 5 is Irrational by Contradiction Method

Given: Number 5.

To Prove: Root 5 is irrational.

Proof: Let us assume that square root 5 is rational. Thus we can write, √5 = p/q, where p, q are the integers, and q is not equal to 0. The integers p and q are coprime numbers thus, HCF (p,q) = 1.

Answer 2

Step-by-step explanation:

let us assume that √5+1 is a rational number. say'a'

√5+1 =a

√5=a -1

as a is a rational number then a-1 is also a rational number

but wkt √5 is a rational number

by contradictory method √5+1 is not a rational number