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3 results found for "fraction square" in Class 10.

Question Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

यदि \(\sqrt{3}=\frac{p}{q}\), तो वर्ग करने पर दाईं ओर क्या बनेगा?

If \(\sqrt{3}=\frac{p}{q}\), what does the right side become after squaring?

Explanation opens after your attempt
Correct Answer

C. \(\frac{p^2}{q^2}\)

Step 1

Concept

While squaring a fraction, both numerator and denominator are squared.

Step 2

Why this answer is correct

Hence (\left\(\frac{p}{q}\right\)2=\frac{p-2}{q-2}).

Step 3

Exam Tip

Squaring only the numerator is a common mistake. चरण 1: भिन्न का वर्ग करते समय अंश और हर दोनों का वर्ग होता है। चरण 2: इसलिए (\left\(\frac{p}{q}\right\)2=\frac{p-2}{q-2})। चरण 3: केवल अंश का वर्ग करना सामान्य गलती है।

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Question Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 17

यदि \(\sqrt{3}=\frac{a}{b}\), तो वर्ग करने पर दाईं ओर क्या बनेगा?

If \(\sqrt{3}=\frac{a}{b}\), what will the right side become after squaring?

Explanation opens after your attempt
Correct Answer

A. \(\frac{a^2}{b^2}\)

Step 1

Concept

While squaring a fraction, both numerator and denominator are squared.

Step 2

Why this answer is correct

Therefore (\left\(\frac{a}{b}\right\)2=\frac{a-2}{b-2}).

Step 3

Exam Tip

Squaring only the numerator is a mistake. चरण 1: भिन्न का वर्ग करते समय अंश और हर दोनों का वर्ग होता है। चरण 2: इसलिए (\left\(\frac{a}{b}\right\)2=\frac{a-2}{b-2})। चरण 3: भिन्न के वर्ग में केवल अंश का वर्ग करना गलती है।

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Question Expert Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 15

कौन सा विकल्प \(\sqrt{\frac{2}{9}}\) का सही प्रकार बताता है?

Which option correctly describes \(\sqrt{\frac{2}{9}}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेय क्योंकि \(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\)Irrational because \(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\)

Step 1

Concept

\(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\).

Step 2

Why this answer is correct

\(\sqrt{2}\) is irrational and remains irrational after division by (3).

Step 3

Exam Tip

Check both numerator and denominator of the fraction. चरण 1: \(\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{3}\)। चरण 2: \(\sqrt{2}\) अपरिमेय है और (3) से भाग देने पर भी अपरिमेय रहता है। चरण 3: भिन्न के अंश और हर दोनों को जांचें।

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