Question

prove that root 5 is irrational​

Answer 1

To show that √5 is an irrational number, we will assume that it is rational.

Then, we need to find a contradiction when we make this assumption.

If we are going to assume that √5 is rational, then we need to understand what it means for a number to be rational.

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

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Answer 2

Answer:

Step-by-step explanation:

The solutions are in the

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