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Class 10MathematicsReal NumbersIrrational numbersMediumLevel 13

If (\sqrt{p}) is irrational and (k) is a non-zero rational number, what type of number is (k\sqrt{p})?

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Answer and explanation

Correct answer: Irrational

Step 1: A non-zero rational multiplier does not remove irrationality. Step 2: For example, (4\sqrt{3}) remains irrational. Step 3: The non-zero condition is important because multiplying by (0) gives (0).

Tags

real-numbersirrational-rulenonzero-rational

Frequently asked questions

What is the correct answer to this question?

Irrational

Why is this the correct answer?

Step 1: A non-zero rational multiplier does not remove irrationality. Step 2: For example, (4\sqrt{3}) remains irrational. Step 3: The non-zero condition is important because multiplying by (0) gives (0).

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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