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

Mathematics Number Systems Square root spiral Medium Class 9 Level 14

Level 14 • 3/50 questions • 35 seconds per question.

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Question 1/3 Medium Mathematics Number Systems Irrational numbers Class 9 Level 14

यदि (n) धनात्मक पूर्ण संख्या है और (n) पूर्ण वर्ग है तो \(\sqrt{n}\) कैसी संख्या होगी?

If (n) is a positive integer and (n) is a perfect square, what type of number will \(\sqrt{n}\) be?

Explanation opens after your attempt
Correct Answer

B. परिमेयRational

Step 1

Concept

The square root of a perfect square is an integer, so it is rational. First check whether the number is a perfect square.

Step 2

Why this answer is correct

The correct answer is B. परिमेय / Rational. The square root of a perfect square is an integer, so it is rational. First check whether the number is a perfect square.

Step 3

Exam Tip

पूर्ण वर्ग का वर्गमूल पूर्णांक होता है इसलिए परिमेय होता है। पहले यह देखें कि संख्या पूर्ण वर्ग है या नहीं।

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Question 2/3 Medium Mathematics Number Systems Irrational numbers Class 9 Level 14

यदि एक वर्ग का क्षेत्रफल (50) वर्ग इकाई है तो उसकी भुजा का सरल रूप क्या होगा?

If the area of a square is (50) square units, what will be the simplified form of its side?

Explanation opens after your attempt
Correct Answer

C. \(5\sqrt{2}\)

Step 1

Concept

The side will be \(\sqrt{50}=5\sqrt{2}\). In a square, side equals the square root of area.

Step 2

Why this answer is correct

The correct answer is C. \(5\sqrt{2}\). The side will be \(\sqrt{50}=5\sqrt{2}\). In a square, side equals the square root of area.

Step 3

Exam Tip

भुजा \(\sqrt{50}=5\sqrt{2}\) होगी। वर्ग में भुजा क्षेत्रफल के वर्गमूल के बराबर होती है।

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Question 3/3 Medium Mathematics Number Systems Irrational numbers Class 9 Level 14

यदि किसी वर्ग की भुजा \(2\sqrt{7}\) इकाई है तो उसका क्षेत्रफल क्या होगा?

If the side of a square is \(2\sqrt{7}\) units, what will be its area?

Explanation opens after your attempt
Correct Answer

C. (28) वर्ग इकाई(28) square units

Step 1

Concept

The area is (\(2\sqrt{7}\)2=28) square units. A square with irrational side can have rational area.

Step 2

Why this answer is correct

The correct answer is C. (28) वर्ग इकाई / (28) square units. The area is (\(2\sqrt{7}\)2=28) square units. A square with irrational side can have rational area.

Step 3

Exam Tip

क्षेत्रफल (\(2\sqrt{7}\)2=28) वर्ग इकाई है। अपरिमेय भुजा का क्षेत्रफल परिमेय हो सकता है।

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