Concept-wise Practice

common mistake MCQ Questions for Class 10

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Practice Questions

91 questions tagged with common mistake.

कौन-सी संख्या \(\sqrt{27}+\sqrt{12}\) का सरल रूप है?

Which number is the simplified form of \(\sqrt{27}+\sqrt{12}\)?

Explanation opens after your attempt
Correct Answer

A. \(5\sqrt{3}\)

Step 1

Concept

\(\sqrt{27}=3\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\).

Step 2

Why this answer is correct

The sum is \(3\sqrt{3}+2\sqrt{3}=5\sqrt{3}\), which is irrational.

Step 3

Exam Tip

Do not combine separate square roots as \(\sqrt{39}\). चरण 1: \(\sqrt{27}=3\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\)। चरण 2: योग \(3\sqrt{3}+2\sqrt{3}=5\sqrt{3}\), जो अपरिमेय है। चरण 3: अलग-अलग मूलों को सीधे जोड़कर \(\sqrt{39}\) न लिखें।

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