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If (5\mid x^2), why is (5\mid x) concluded?

Answer and explanation

Correct answer: Because (5) is a prime number

Step 1: If a prime factor appears in a square, it appears in the original number too. Step 2: Since (5) is prime, (5\mid x^2) implies (5\mid x). Step 3: This rule is the main base of the proof for (\sqrt{5}).

Related tags

Real-NumbersRoot5Prime-FactorDivisibilityProof Of Irrationality Of √2√3√5Proof Of Irrationality Of 2 3 5Real NumbersMathematics

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