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If (\sqrt{2}=\frac{p}{q}), what is obtained after squaring both sides?

Answer and explanation

Correct answer: (p^2=2q^2)

Step 1: Square both sides of (\sqrt{2}=\frac{p}{q}). Step 2: The left side becomes (2) and the right side becomes (\frac{p^2}{q^2}), so (p^2=2q^2). Step 3: After squaring, multiply by (q^2) to clear the denominator.

Related tags

Sqrt2 ProofSquaringEasyClass 10Proof Of Irrationality Of √2√3√5Proof Of Irrationality Of 2 3 5Real NumbersMathematics

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