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Which option is the correct simplified form of (\sqrt{98}-\sqrt{50})?

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Answer and explanation

Correct answer: (2\sqrt{2})

Step 1: (\sqrt{98}=7\sqrt{2}) and (\sqrt{50}=5\sqrt{2}). Step 2: The difference is (7\sqrt{2}-5\sqrt{2}=2\sqrt{2}), which is irrational. Step 3: For like surds, subtract only the coefficients.

Related tags

Surd SubtractionIrrational NumbersClass 10

Frequently asked questions

What is the correct answer to this question?

(2\sqrt{2})

Why is this the correct answer?

Step 1: (\sqrt{98}=7\sqrt{2}) and (\sqrt{50}=5\sqrt{2}). Step 2: The difference is (7\sqrt{2}-5\sqrt{2}=2\sqrt{2}), which is irrational. Step 3: For like surds, subtract only the coefficients.

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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