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surd product MCQ Questions for Class 10

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2 questions tagged with surd product.

Question 1/2 Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 27

यदि \(a=\sqrt{13}+\sqrt{6}\) और \(b=\sqrt{13}-\sqrt{6}\), तो (ab) का मान क्या है?

If \(a=\sqrt{13}+\sqrt{6}\) and \(b=\sqrt{13}-\sqrt{6}\), what is the value of (ab)?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

(ab=13-6=7). In exams conjugate multiplication removes radicals.

Step 2

Why this answer is correct

The correct answer is A. (7). (ab=13-6=7). In exams conjugate multiplication removes radicals.

Step 3

Exam Tip

(ab=13-6=7) है। परीक्षा में संयुग्मी गुणन से मूल हट जाते हैं।

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Question 2/2 Expert Mathematics Real Numbers Irrational numbers Class 10 Level 13

यदि \(x=\sqrt{3}+\sqrt{2}\), तो (\(x-\sqrt{3}\)\(x-\sqrt{2}\)) का मान क्या है?

If \(x=\sqrt{3}+\sqrt{2}\), what is the value of (\(x-\sqrt{3}\)\(x-\sqrt{2}\))?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{6}\)

Step 1

Concept

\(x-\sqrt{3}=\sqrt{2}\) and \(x-\sqrt{2}=\sqrt{3}\).

Step 2

Why this answer is correct

Their product is \(\sqrt{2}\times\sqrt{3}=\sqrt{6}\).

Step 3

Exam Tip

Simplify the small brackets first. चरण 1: \(x-\sqrt{3}=\sqrt{2}\) और \(x-\sqrt{2}=\sqrt{3}\)। चरण 2: उनका गुणन \(\sqrt{2}\times\sqrt{3}=\sqrt{6}\) है। चरण 3: पहले छोटे-छोटे कोष्ठकों को सरल करें।

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