Which of the following is not a perfect square and its square root is proved irrational?
Answer and explanation
Correct answer: (2)
Step 1: (4), (9), and (25) are perfect squares. Step 2: (2) is not a perfect square, so (\sqrt{2}) is proved irrational. Step 3: First identify perfect and non-perfect squares.
Frequently asked questions
What is the correct answer to this question?
(2)
Why is this the correct answer?
Step 1: (4), (9), and (25) are perfect squares. Step 2: (2) is not a perfect square, so (\sqrt{2}) is proved irrational. Step 3: First identify perfect and non-perfect squares.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Proof of irrationality of √2, √3, √5.