Class 9 Mathematics - Number Systems - Square root spiral Medium Quiz

Mathematics Number Systems Square root spiral Medium Class 9 Level 13

Level 13 • 2/50 questions • 35 seconds per question.

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Question 1/2 Medium Mathematics Number Systems Irrational numbers Class 9 Level 13

यदि (n) पूर्ण वर्ग नहीं है और (n>0) है तो \(\sqrt{n}\) सामान्यतः कैसी संख्या होगी?

If (n) is not a perfect square and (n>0), what type of number will \(\sqrt{n}\) generally be?

Explanation opens after your attempt
Correct Answer

D. अपरिमेयIrrational

Step 1

Concept

The square root of a positive integer is irrational when it is not a perfect square. This is the main rule for identifying square roots.

Step 2

Why this answer is correct

The correct answer is D. अपरिमेय / Irrational. The square root of a positive integer is irrational when it is not a perfect square. This is the main rule for identifying square roots.

Step 3

Exam Tip

धनात्मक पूर्ण संख्या का वर्गमूल अपरिमेय होता है जब वह पूर्ण वर्ग नहीं होती। यही वर्गमूल पहचान का मुख्य नियम है।

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Question 2/2 Medium Mathematics Number Systems Irrational numbers Class 9 Level 13

यदि एक वर्ग का क्षेत्रफल (18) वर्ग इकाई है तो उसकी भुजा का सरल रूप क्या होगा?

If the area of a square is (18) square units, what will be the simplified form of its side?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

The side will be \(\sqrt{18}=3\sqrt{2}\). In a square, side equals the square root of area.

Step 2

Why this answer is correct

The correct answer is C. \(3\sqrt{2}\). The side will be \(\sqrt{18}=3\sqrt{2}\). In a square, side equals the square root of area.

Step 3

Exam Tip

भुजा \(\sqrt{18}=3\sqrt{2}\) होगी। वर्ग में भुजा क्षेत्रफल के वर्गमूल के बराबर होती है।

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