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Which option is the correct simplified form of (\sqrt{5}+\sqrt{45}-\sqrt{20})?
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Answer and explanation
Correct answer: (2\sqrt{5})
Step 1: (\sqrt{45}=3\sqrt{5}) and (\sqrt{20}=2\sqrt{5}). Step 2: (\sqrt{5}+3\sqrt{5}-2\sqrt{5}=2\sqrt{5}). Step 3: In questions with many radicals, first convert all terms to like surds when possible.
Frequently asked questions
What is the correct answer to this question?
(2\sqrt{5})
Why is this the correct answer?
Step 1: (\sqrt{45}=3\sqrt{5}) and (\sqrt{20}=2\sqrt{5}). Step 2: (\sqrt{5}+3\sqrt{5}-2\sqrt{5}=2\sqrt{5}). Step 3: In questions with many radicals, first convert all terms to like surds when possible.
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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