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