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2 results found for "irrational-form" in Class 10.

Question Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 26

किस विकल्प में \(\sqrt{3}\) और \(\sqrt{12}\) का योग परिमेय गुणांक वाले सरल अपरिमेय रूप में सही लिखा गया है?

In which option is the sum of \(\sqrt{3}\) and \(\sqrt{12}\) correctly written as a simple irrational form with rational coefficient?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

\(\sqrt{12}=2\sqrt{3}\), so \(\sqrt{3}+\sqrt{12}=3\sqrt{3}\). In exams make radicals like terms before adding.

Step 2

Why this answer is correct

The correct answer is A. \(3\sqrt{3}\). \(\sqrt{12}=2\sqrt{3}\), so \(\sqrt{3}+\sqrt{12}=3\sqrt{3}\). In exams make radicals like terms before adding.

Step 3

Exam Tip

\(\sqrt{12}=2\sqrt{3}\), इसलिए \(\sqrt{3}+\sqrt{12}=3\sqrt{3}\) है। परीक्षा में मूलों को जोड़ने से पहले समान मूल बनाएं।

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Question Easy Mathematics Real Numbers 5: Irrational numbers Class 10 Level 13

\(\sqrt{18}\) का सरल अपरिमेय रूप कौन-सा है?

Which is the simplified irrational form of \(\sqrt{18}\)?

Explanation opens after your attempt
Correct Answer

B. \(3\sqrt{2}\)

Step 1

Concept

\(18=9 \times 2\).

Step 2

Why this answer is correct

\(\sqrt{18}=\sqrt{9 \times 2}=3\sqrt{2}\).

Step 3

Exam Tip

Choosing the largest perfect square factor makes simplification faster. चरण 1: \(18=9 \times 2\) है। चरण 2: \(\sqrt{18}=\sqrt{9 \times 2}=3\sqrt{2}\)। चरण 3: सबसे बड़ा पूर्ण वर्ग गुणनखंड चुनने से उत्तर जल्दी सरल होता है।

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