If (\sqrt{x}) is irrational then which conclusion is always correct?
Answer and explanation
Correct answer: (x) is not a perfect square
Step 1: The square root of a perfect square is an integer and rational. Step 2: If (\sqrt{x}) is irrational then (x) cannot be a perfect square. Step 3: For irrational square roots first check perfect-square status.
Frequently asked questions
What is the correct answer to this question?
(x) is not a perfect square
Why is this the correct answer?
Step 1: The square root of a perfect square is an integer and rational. Step 2: If (\sqrt{x}) is irrational then (x) cannot be a perfect square. Step 3: For irrational square roots first check perfect-square status.
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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