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Subjects
Class 10MathematicsReal NumbersIrrational numbersMediumLevel 15

Which statement is always correct?

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Answer and explanation

Correct answer: The difference of a rational and an irrational number is irrational

Step 1: Subtracting an irrational number from a rational number leaves an irrational part. Step 2: For example, (5-\sqrt{2}) is irrational. Step 3: For always-type statements, checking counterexamples is useful.

Tags

real-numbersirrational-rulestrue-statement

Frequently asked questions

What is the correct answer to this question?

The difference of a rational and an irrational number is irrational

Why is this the correct answer?

Step 1: Subtracting an irrational number from a rational number leaves an irrational part. Step 2: For example, (5-\sqrt{2}) is irrational. Step 3: For always-type statements, checking counterexamples is useful.

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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