prove that √2 is an irrational number ???
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Problem statement: Prove that Root 2 is Irrational Number
Given: The number 2
- There are two methods to prove that √2 is an irrational number, and those methods are:
- By contradiction method
- By long-division method
Step-by-step explanation:
- The square root of a number is the number that gets multiplied to itself to give the original number. The square root of 2 is represented as √2. The actual value of √2 is undetermined. The decimal expansion of √2 is infinite because it is non-terminating and non-repeating. Any number that has a non-terminating and non-repeating decimal expansion is always an irrational number. So, √2 is an irrational number.
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