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Class 9 Mathematics - Number Systems - Proof of irrationality of square root 2 and square root 3 Expert Quiz

Mathematics Number Systems Proof of irrationality of square root 2 and square root 3 Expert Class 9 Level 1

Level 1 • 9/50 questions • 25 seconds per question.

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This level needs 41 more active questions. Admin panel me same class, subject, difficulty aur level_no 1 par question add karein.
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Question 1/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{5}-2\) तो ((a+2)2) क्या होगा?

If \(a=\sqrt{5}-2\) then what is ((a+2)2)?

Explanation opens after your attempt
Correct Answer

B. 5

Explanation

Simple Explanation

\(a+2=\sqrt{5}\) इसलिए वर्ग 5 होगा। पहले सरल करें। / \(a+2=\sqrt{5}\), so its square is 5. Simplify first.

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Question 2/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=9\) तो (x) क्या है?

If \(\sqrt{x}=9\) then what is (x)?

Explanation opens after your attempt
Correct Answer

B. 81

Explanation

Simple Explanation

दोनों पक्षों का वर्ग करने पर (x=81)। वर्गमूल के प्रश्नों में वर्ग करें। / Squaring both sides gives (x=81). Square both sides when needed.

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Question 3/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{11}\) तो \(x^2+5\) क्या होगा?

If \(x=\sqrt{11}\) then what is \(x^2+5\)?

Explanation opens after your attempt
Correct Answer

B. 16

Explanation

Simple Explanation

\(x^2=11\) इसलिए उत्तर 16 है। पहले वर्ग निकालें। / \(x^2=11\), so the answer is 16. Evaluate the square first.

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Question 4/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{8}\) तो \(a^2\) क्या है?

If \(a=\sqrt{8}\) then what is \(a^2\)?

Explanation opens after your attempt
Correct Answer

C. 8

Explanation

Simple Explanation

वर्गमूल का वर्ग मूल संख्या देता है। उत्तर 8 है। / The square of a square root gives the original number. Answer is 8.

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Question 5/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=12\) तो (x-44) क्या है?

If \(\sqrt{x}=12\) then what is (x-44)?

Explanation opens after your attempt
Correct Answer

B. 100

Explanation

Simple Explanation

(x=144) इसलिए (144-44=100)। वर्ग करें। / (x=144), so (144-44=100). Square both sides.

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Question 6/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{10}\) तो \(\frac{a^2}{2}\) क्या होगा?

If \(a=\sqrt{10}\) then what is \(\frac{a^2}{2}\)?

Explanation opens after your attempt
Correct Answer

C. 5

Explanation

Simple Explanation

\(a^2=10\) इसलिए \(\frac{10}{2}=5\)। पहले वर्ग निकालें। / \(a^2=10\), so \(\frac{10}{2}=5\). Evaluate the square first.

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Question 7/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{15}\) तो \(x^2+10\) क्या होगा?

If \(x=\sqrt{15}\) then what is \(x^2+10\)?

Explanation opens after your attempt
Correct Answer

C. 25

Explanation

Simple Explanation

\(x^2=15\) इसलिए उत्तर 25 है। सरल गणना करें। / \(x^2=15\), so the answer is 25. Simple evaluation.

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Question 8/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=15\) तो (x) क्या है?

If \(\sqrt{x}=15\) then what is (x)?

Explanation opens after your attempt
Correct Answer

A. 225

Explanation

Simple Explanation

दोनों पक्षों का वर्ग करने पर (x=225)। यह मूल तकनीक है। / Squaring both sides gives (x=225). This is the basic technique.

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Question 9/9 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{3}\) तो \(x^2+x^2\) क्या होगा?

If \(x=\sqrt{3}\) then what is \(x^2+x^2\)?

Explanation opens after your attempt
Correct Answer

B. 6

Explanation

Simple Explanation

\(x^2=3\) इसलिए योग (3+3=6) है। / \(x^2=3\), so the sum is (3+3=6).

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