If (\sqrt{n}) is rational when (n) is a positive integer, what is the correct decision for (n=72)?
Answer and explanation
Correct answer: (\sqrt{72}) is irrational because (72) is not a perfect square
Step 1: The square root of a positive integer is rational only when the integer is a perfect square. Step 2: (72) is not a perfect square, so (\sqrt{72}) is irrational. Step 3: Being even does not make a square root rational.
Frequently asked questions
What is the correct answer to this question?
(\sqrt{72}) is irrational because (72) is not a perfect square
Why is this the correct answer?
Step 1: The square root of a positive integer is rational only when the integer is a perfect square. Step 2: (72) is not a perfect square, so (\sqrt{72}) is irrational. Step 3: Being even does not make a square root rational.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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