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Class 10 Mathematics Real Numbers Proof of irrationality of √2, √3, √5Medium

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In the proof of (\sqrt{5}), after putting (m=5k), which equation follows from (m^2=5n^2)?

Answer and explanation

Correct answer: (25k^2=5n^2)

Step 1: If (m=5k), then (m^2=25k^2). Step 2: So (m^2=5n^2) becomes (25k^2=5n^2). Step 3: Writing ((5k)^2) as (5k^2) is a mistake.

Related tags

Sqrt5 Proof Algebra Error Class 10 Proof Of Irrationality Of √2 √3 √5 Proof Of Irrationality Of 2 3 5 Real Numbers Mathematics Class 10 Mcq

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