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The simplified form of (\sqrt{2}+\sqrt{2}) is what type of number?

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Answer and explanation

Correct answer: Irrational number

Step 1: (\sqrt{2}+\sqrt{2}=2\sqrt{2}). Step 2: (\sqrt{2}) is irrational and (2) is non-zero rational, so (2\sqrt{2}) is irrational. Step 3: First simplify like radicals, then decide the type.

Related tags

Real-NumbersIrrational-NumbersRadicals

Frequently asked questions

What is the correct answer to this question?

Irrational number

Why is this the correct answer?

Step 1: (\sqrt{2}+\sqrt{2}=2\sqrt{2}). Step 2: (\sqrt{2}) is irrational and (2) is non-zero rational, so (2\sqrt{2}) is irrational. Step 3: First simplify like radicals, then decide the type.

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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