Which option gives the correct simplified form and nature of (\sqrt{2}+\sqrt{18})?
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Answer and explanation
Correct answer: (4\sqrt{2}), irrational
Step 1: (\sqrt{18}=3\sqrt{2}). Step 2: (\sqrt{2}+\sqrt{18}=\sqrt{2}+3\sqrt{2}=4\sqrt{2}), which is irrational. Step 3: For like surds, add only the outside coefficients.
Frequently asked questions
What is the correct answer to this question?
(4\sqrt{2}), irrational
Why is this the correct answer?
Step 1: (\sqrt{18}=3\sqrt{2}). Step 2: (\sqrt{2}+\sqrt{18}=\sqrt{2}+3\sqrt{2}=4\sqrt{2}), which is irrational. Step 3: For like surds, add only the outside 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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