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Subjects
Class 10MathematicsReal NumbersIrrational numbersHardLevel 15

Which option correctly gives the sum of (\sqrt{75}) and (\sqrt{27})?

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Answer and explanation

Correct answer: (8\sqrt{3})

Step 1: (\sqrt{75}=5\sqrt{3}) and (\sqrt{27}=3\sqrt{3}). Step 2: The sum is (5\sqrt{3}+3\sqrt{3}=8\sqrt{3}). Step 3: Do not combine separate square roots directly into one root.

Tags

addition of surdscommon mistakeclass 10

Frequently asked questions

What is the correct answer to this question?

(8\sqrt{3})

Why is this the correct answer?

Step 1: (\sqrt{75}=5\sqrt{3}) and (\sqrt{27}=3\sqrt{3}). Step 2: The sum is (5\sqrt{3}+3\sqrt{3}=8\sqrt{3}). Step 3: Do not combine separate square roots directly into one root.

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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