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Which option is the correct simplified form of (\sqrt{3}+\sqrt{12}+\sqrt{27})?
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Answer and explanation
Correct answer: (6\sqrt{3})
Step 1: (\sqrt{12}=2\sqrt{3}) and (\sqrt{27}=3\sqrt{3}). Step 2: The total sum is (\sqrt{3}+2\sqrt{3}+3\sqrt{3}=6\sqrt{3}). Step 3: Converting all terms into like surds makes addition easy.
Frequently asked questions
What is the correct answer to this question?
(6\sqrt{3})
Why is this the correct answer?
Step 1: (\sqrt{12}=2\sqrt{3}) and (\sqrt{27}=3\sqrt{3}). Step 2: The total sum is (\sqrt{3}+2\sqrt{3}+3\sqrt{3}=6\sqrt{3}). Step 3: Converting all terms into like surds makes addition easy.
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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