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irrational-division MCQ Questions for Class 10

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3 questions tagged with irrational-division.

Question 1/3 Easy Mathematics Real Numbers Irrational numbers Class 10 Level 15

\(\frac{\sqrt{7}}{3}\) कैसी संख्या है?

What type of number is \(\frac{\sqrt{7}}{3}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

\(\sqrt{7}\) is irrational.

Step 2

Why this answer is correct

Dividing it by the non-zero rational number (3) keeps the result irrational.

Step 3

Exam Tip

Division by a non-zero rational number does not remove irrationality. चरण 1: \(\sqrt{7}\) अपरिमेय है। चरण 2: इसे अशून्य परिमेय संख्या (3) से भाग देने पर परिणाम अपरिमेय रहता है। चरण 3: अशून्य परिमेय से भाग करने पर अपरिमेयता समाप्त नहीं होती।

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Question 2/3 Easy Mathematics Real Numbers Irrational numbers Class 10 Level 14

\(\frac{\sqrt{5}}{5}\) कैसी संख्या है?

What type of number is \(\frac{\sqrt{5}}{5}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

\(\sqrt{5}\) is irrational.

Step 2

Why this answer is correct

Dividing it by the non-zero rational number (5) keeps it irrational.

Step 3

Exam Tip

A rational denominator alone does not make the whole expression rational. चरण 1: \(\sqrt{5}\) अपरिमेय है। चरण 2: अशून्य परिमेय संख्या (5) से भाग देने पर यह अपरिमेय ही रहती है। चरण 3: हर में परिमेय संख्या होने से पूरा पद परिमेय नहीं हो जाता।

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Question 3/3 Easy Mathematics Real Numbers Irrational numbers Class 10 Level 13

\(\frac{\sqrt{3}}{2}\) कैसी संख्या है?

What type of number is \(\frac{\sqrt{3}}{2}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेय संख्याIrrational number

Step 1

Concept

\(\sqrt{3}\) is irrational.

Step 2

Why this answer is correct

Dividing it by the non-zero rational number (2) still gives an irrational number.

Step 3

Exam Tip

Multiplying or dividing an irrational number by a non-zero rational number generally keeps it irrational. चरण 1: \(\sqrt{3}\) अपरिमेय है। चरण 2: इसे अशून्य परिमेय संख्या (2) से भाग देने पर भी परिणाम अपरिमेय रहता है। चरण 3: अपरिमेय संख्या को अशून्य परिमेय से गुणा या भाग करने पर सामान्यतः अपरिमेय परिणाम मिलता है।

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