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Which option disproves the wrong idea (\sqrt{a}+\sqrt{b}=\sqrt{a+b})?

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Answer and explanation

Correct answer: (a=4,b=9)

Step 1: For (a=4,b=9), the left side is (2+3=5). Step 2: The right side is (\sqrt{13}), which is not (5). Step 3: When adding square roots, the numbers inside the roots are not added directly.

Tags

common mistakesquare rootsclass 10

Frequently asked questions

What is the correct answer to this question?

(a=4,b=9)

Why is this the correct answer?

Step 1: For (a=4,b=9), the left side is (2+3=5). Step 2: The right side is (\sqrt{13}), which is not (5). Step 3: When adding square roots, the numbers inside the roots are not added directly.

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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