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5 results found for "bound" in Class 10.

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

किस विकल्प में \( \sqrt{86} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?

Which option gives the correct decimal bound for \( \sqrt{86} \) on the number line?

Explanation opens after your attempt
Correct Answer

B. \(9.2<\sqrt{86}<9.3\)

Step 1

Concept

\(9.2^2=84.64\) and \(9.3^2=86.49\), so \( \sqrt{86} \) lies between them. Check squares for decimal bounds.

Step 2

Why this answer is correct

The correct answer is B. \(9.2<\sqrt{86}<9.3\). \(9.2^2=84.64\) and \(9.3^2=86.49\), so \( \sqrt{86} \) lies between them. Check squares for decimal bounds.

Step 3

Exam Tip

\(9.2^2=84.64\) और \(9.3^2=86.49\), इसलिए \( \sqrt{86} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।

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

किस विकल्प में \( \sqrt{57} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?

Which option gives the correct decimal bound for \( \sqrt{57} \) on the number line?

Explanation opens after your attempt
Correct Answer

B. \(7.5<\sqrt{57}<7.6\)

Step 1

Concept

\(7.5^2=56.25\) and \(7.6^2=57.76\), so \( \sqrt{57} \) lies between them. Check squares for decimal bounds.

Step 2

Why this answer is correct

The correct answer is B. \(7.5<\sqrt{57}<7.6\). \(7.5^2=56.25\) and \(7.6^2=57.76\), so \( \sqrt{57} \) lies between them. Check squares for decimal bounds.

Step 3

Exam Tip

\(7.5^2=56.25\) और \(7.6^2=57.76\), इसलिए \( \sqrt{57} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।

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Question Hard Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

किस विकल्प में \( \sqrt{30} \) की सही दशमलव सीमा दी गई है?

Which option gives the correct decimal bound for \( \sqrt{30} \)?

Explanation opens after your attempt
Correct Answer

B. \(5.4<\sqrt{30}<5.5\)

Step 1

Concept

\(5.4^2=29.16\) and \(5.5^2=30.25\), so \( \sqrt{30} \) lies between them. Check squares for decimal bounds.

Step 2

Why this answer is correct

The correct answer is B. \(5.4<\sqrt{30}<5.5\). \(5.4^2=29.16\) and \(5.5^2=30.25\), so \( \sqrt{30} \) lies between them. Check squares for decimal bounds.

Step 3

Exam Tip

\(5.4^2=29.16\) और \(5.5^2=30.25\), इसलिए \( \sqrt{30} \) इनके बीच है। दशमलव सीमा के लिए वर्ग जाँचें।

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

किस विकल्प में \( \sqrt{24} \) की संख्या रेखा पर सही दशमलव सीमा दी गई है?

Which option gives the correct decimal bound for \( \sqrt{24} \) on the number line?

Explanation opens after your attempt
Correct Answer

A. \(4.8<\sqrt{24}<4.9\)

Step 1

Concept

\(4.8^2=23.04\) and \(4.9^2=24.01\). Hence \( \sqrt{24} \) lies between them.

Step 2

Why this answer is correct

The correct answer is A. \(4.8<\sqrt{24}<4.9\). \(4.8^2=23.04\) and \(4.9^2=24.01\). Hence \( \sqrt{24} \) lies between them.

Step 3

Exam Tip

\(4.8^2=23.04\) और \(4.9^2=24.01\) है। इसलिए \( \sqrt{24} \) इनके बीच है।

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Question Hard Mathematics Polynomials Representing real numbers on the number line Class 10 Level 49

यदि (x) संख्या रेखा पर (2.6) और (2.7) के बीच है, तो \(x=\sqrt{7}\) के लिए कौन-सा परीक्षण सही है?

If (x) lies between (2.6) and (2.7), which test is correct for \(x=\sqrt{7}\)?

Explanation opens after your attempt
Correct Answer

A. \(2.6^2<7<2.7^2\)

Step 1

Concept

\(2.6^2=6.76\) and \(2.7^2=7.29\), so \(\sqrt{7}\) lies between them. Check an estimate by squaring.

Step 2

Why this answer is correct

The correct answer is A. \(2.6^2<7<2.7^2\). \(2.6^2=6.76\) and \(2.7^2=7.29\), so \(\sqrt{7}\) lies between them. Check an estimate by squaring.

Step 3

Exam Tip

\(2.6^2=6.76\) और \(2.7^2=7.29\), इसलिए \(\sqrt{7}\) इनके बीच है। अनुमान को वर्ग करके जाँचें।

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