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Class 10MathematicsReal NumbersIrrational numbersMediumLevel 14

Which option shows the product of a rational number and an irrational number that is irrational?

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Answer and explanation

Correct answer: (4\times\sqrt{13})

Step 1: (4) is a non-zero rational number and (\sqrt{13}) is irrational. Step 2: (4\sqrt{13}) remains irrational. Step 3: Multiplication by zero is a special case, so focus on non-zero rational factors.

Tags

real-numbersrational-irrational-productconcept

Frequently asked questions

What is the correct answer to this question?

(4\times\sqrt{13})

Why is this the correct answer?

Step 1: (4) is a non-zero rational number and (\sqrt{13}) is irrational. Step 2: (4\sqrt{13}) remains irrational. Step 3: Multiplication by zero is a special case, so focus on non-zero rational factors.

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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