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3 results found for "sqrt24" in Class 10.

Question Easy Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 15

\(\sqrt{243}\) को सरल कीजिए।

Simplify \(\sqrt{243}\).

Explanation opens after your attempt
Correct Answer

B. \(9\sqrt{3}\)

Step 1

Concept

Write \(243=81 \times 3\).

Step 2

Why this answer is correct

\(\sqrt{243}=\sqrt{81 \times 3}=9\sqrt{3}\).

Step 3

Exam Tip

Choosing a larger perfect square simplifies the answer in one step. चरण 1: \(243=81 \times 3\) लिखें। चरण 2: \(\sqrt{243}=\sqrt{81 \times 3}=9\sqrt{3}\)। चरण 3: बड़ा पूर्ण वर्ग चुनने से उत्तर एक ही चरण में सरल हो जाता है।

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Question Easy Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 15

\(\sqrt{242}\) का सरल रूप क्या होगा?

What will be the simplified form of \(\sqrt{242}\)?

Explanation opens after your attempt
Correct Answer

A. \(11\sqrt{2}\)

Step 1

Concept

\(242=121 \times 2\).

Step 2

Why this answer is correct

\(\sqrt{242}=\sqrt{121 \times 2}=11\sqrt{2}\).

Step 3

Exam Tip

Recognising large perfect squares like (121) is very useful in simplification. चरण 1: \(242=121 \times 2\) है। चरण 2: \(\sqrt{242}=\sqrt{121 \times 2}=11\sqrt{2}\)। चरण 3: बड़े पूर्ण वर्ग जैसे (121) को पहचानना सरलीकरण में बहुत उपयोगी है।

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Question Easy Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 14

कौन-सा विकल्प \(\sqrt{24}\) का सरल रूप है?

Which option is the simplified form of \(\sqrt{24}\)?

Explanation opens after your attempt
Correct Answer

A. \(2\sqrt{6}\)

Step 1

Concept

\(24=4 \times 6\).

Step 2

Why this answer is correct

\(\sqrt{24}=\sqrt{4 \times 6}=2\sqrt{6}\).

Step 3

Exam Tip

If (6) remains inside, it cannot be simplified further because it has no perfect square factor. चरण 1: \(24=4 \times 6\) है। चरण 2: \(\sqrt{24}=\sqrt{4 \times 6}=2\sqrt{6}\)। चरण 3: यदि अंदर (6) बचे तो वह आगे सरल नहीं होगा क्योंकि (6) में पूर्ण वर्ग गुणनखंड नहीं है।

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