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Answers
Answer:
is irrational because when we place it in decimal form it is both non- terminating and non- repeating
Answer:
Step-by-step explanation:
Suppose we want to prove that a math statement is true. Simply put, we assume that the math statement is false and then show that this will lead to a contradiction.
If it leads to a contradiction, then the statement must be true
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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