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radical-difference MCQ Questions for Class 10

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4 questions tagged with radical-difference.

Question 1/4 Expert Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(x,x+\sqrt{5},x+2\sqrt{5},x+3\sqrt{5}\) का सामान्य अंतर क्या है?

What is the common difference of \(x,x+\sqrt{5},x+2\sqrt{5},x+3\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{5}\)

Step 1

Concept

Each next term adds \(\sqrt{5}\). In exams, the variable (x) is the fixed part, not the common difference.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{5}\). Each next term adds \(\sqrt{5}\). In exams, the variable (x) is the fixed part, not the common difference.

Step 3

Exam Tip

हर अगले पद में \(\sqrt{5}\) जुड़ता है। परीक्षा में चर (x) स्थिर भाग है, सामान्य अंतर नहीं।

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Question 2/4 Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

संख्या रेखा पर \( \sqrt{300}-\sqrt{147} \) का सरल और सही मान कौन सा है?

What is the simplified correct value of \( \sqrt{300}-\sqrt{147} \) on the number line?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

\( \sqrt{300}=10\sqrt{3} \) and \( \sqrt{147}=7\sqrt{3} \), so the difference is \(3\sqrt{3}\). Simplify the radicals first.

Step 2

Why this answer is correct

The correct answer is A. \(3\sqrt{3}\). \( \sqrt{300}=10\sqrt{3} \) and \( \sqrt{147}=7\sqrt{3} \), so the difference is \(3\sqrt{3}\). Simplify the radicals first.

Step 3

Exam Tip

\( \sqrt{300}=10\sqrt{3} \) और \( \sqrt{147}=7\sqrt{3} \), इसलिए अंतर \(3\sqrt{3}\) है। पहले मूलों को सरल करें।

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Question 3/4 Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 50

संख्या रेखा पर \( \sqrt{192}-\sqrt{75} \) का सरल और सही मान कौन सा है?

What is the simplified correct value of \( \sqrt{192}-\sqrt{75} \) on the number line?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

\( \sqrt{192}=8\sqrt{3} \) and \( \sqrt{75}=5\sqrt{3} \), so the difference is \(3\sqrt{3}\). Simplify the radicals first.

Step 2

Why this answer is correct

The correct answer is A. \(3\sqrt{3}\). \( \sqrt{192}=8\sqrt{3} \) and \( \sqrt{75}=5\sqrt{3} \), so the difference is \(3\sqrt{3}\). Simplify the radicals first.

Step 3

Exam Tip

\( \sqrt{192}=8\sqrt{3} \) और \( \sqrt{75}=5\sqrt{3} \), इसलिए अंतर \(3\sqrt{3}\) है। पहले मूलों को सरल करें।

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Question 4/4 Expert Mathematics Polynomials Representing real numbers on the number line Class 10 Level 49

संख्या रेखा पर \( \sqrt{48}-\sqrt{27} \) का सरल और सही मान कौन सा है?

What is the simplified correct value of \( \sqrt{48}-\sqrt{27} \) on the number line?

Explanation opens after your attempt
Correct Answer

A. \( \sqrt{3} \)

Step 1

Concept

\( \sqrt{48}=4\sqrt{3} \) and \( \sqrt{27}=3\sqrt{3} \), so the difference is \( \sqrt{3} \). Simplify the radicals first.

Step 2

Why this answer is correct

The correct answer is A. \( \sqrt{3} \). \( \sqrt{48}=4\sqrt{3} \) and \( \sqrt{27}=3\sqrt{3} \), so the difference is \( \sqrt{3} \). Simplify the radicals first.

Step 3

Exam Tip

\( \sqrt{48}=4\sqrt{3} \) और \( \sqrt{27}=3\sqrt{3} \), इसलिए अंतर \( \sqrt{3} \) है। पहले मूलों को सरल करें।

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