Question

prove that root 5is irrational​

Answer 1

Step-by-step explanation:

Let us assume that √5 is a rational number.

we know that the rational numbers are in the form of p/q form where p,q are intezers.

so, √5 = p/q

p = √5q

we know that 'p' is a rational number. so √5 q must be rational since it equals to p

but it doesnt occurs with √5 since its not an intezer

therefore, p =/= √5q

this contradicts the fact that √5 is an irrational number

hence our assumption is wrong and √5 is an irrational number.

hope it helped u :)

Answer 2

Step-by-step explanation:

Basically, if square root of 5 is rational, it can be written as the ratio of two numbers as shown below:

Square both sides of the equation above

5 =

x2

y2

Multiply both sides by y2

5 × y2 =

x2

y2

× y2

We get 5 × y2 = x2