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2 results found for "sqrt17" in Class 10.

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

\(\sqrt{175}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{175}\)?

Explanation opens after your attempt
Correct Answer

C. \(5\sqrt{7}\)

Step 1

Concept

Write \(175=25 \times 7\).

Step 2

Why this answer is correct

\(\sqrt{175}=\sqrt{25 \times 7}=5\sqrt{7}\).

Step 3

Exam Tip

Take the perfect square factor outside and keep the remaining number inside. चरण 1: \(175=25 \times 7\) लिखें। चरण 2: \(\sqrt{175}=\sqrt{25 \times 7}=5\sqrt{7}\)। चरण 3: पूर्ण वर्ग गुणनखंड को बाहर और बाकी संख्या को अंदर रखें।

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

कौन-सी संख्या (4) और (5) के बीच स्थित अपरिमेय संख्या है?

Which number is an irrational number lying between (4) and (5)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{17}\)

Step 1

Concept

Since (16<17<25), \(4<\sqrt{17}<5\).

Step 2

Why this answer is correct

(17) is not a perfect square, so \(\sqrt{17}\) is irrational.

Step 3

Exam Tip

Use nearby perfect squares in interval questions. चरण 1: (16<17<25), इसलिए \(4<\sqrt{17}<5\)। चरण 2: (17) पूर्ण वर्ग नहीं है, इसलिए \(\sqrt{17}\) अपरिमेय है। चरण 3: अंतराल वाले प्रश्न में पास के पूर्ण वर्गों का उपयोग करें।

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