\(\frac{\sqrt{243}-\sqrt{108}}{\sqrt{3}}\) का सरल मान क्या है?

What is the simplified value of \(\frac{\sqrt{243}-\sqrt{108}}{\sqrt{3}}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (3)

Step 1

Concept

\(\sqrt{243}=9\sqrt{3}\) and \(\sqrt{108}=6\sqrt{3}\), so the numerator is \(3\sqrt{3}\). Dividing by \(\sqrt{3}\) gives (3).

Step 2

Why this answer is correct

The correct answer is B. (3). \(\sqrt{243}=9\sqrt{3}\) and \(\sqrt{108}=6\sqrt{3}\), so the numerator is \(3\sqrt{3}\). Dividing by \(\sqrt{3}\) gives (3).

Step 3

Exam Tip

\(\sqrt{243}=9\sqrt{3}\) और \(\sqrt{108}=6\sqrt{3}\), इसलिए अंश \(3\sqrt{3}\) है। \(\sqrt{3}\) से भाग देने पर (3) मिलता है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

\(\frac{\sqrt{243}-\sqrt{108}}{\sqrt{3}}\) का सरल मान क्या है? / What is the simplified value of \(\frac{\sqrt{243}-\sqrt{108}}{\sqrt{3}}\)?

Correct Answer: B. (3). Explanation: \(\sqrt{243}=9\sqrt{3}\) और \(\sqrt{108}=6\sqrt{3}\), इसलिए अंश \(3\sqrt{3}\) है। \(\sqrt{3}\) से भाग देने पर (3) मिलता है। / \(\sqrt{243}=9\sqrt{3}\) and \(\sqrt{108}=6\sqrt{3}\), so the numerator is \(3\sqrt{3}\). Dividing by \(\sqrt{3}\) gives (3).

Which concept should I revise for this Mathematics MCQ?

\(\sqrt{243}=9\sqrt{3}\) and \(\sqrt{108}=6\sqrt{3}\), so the numerator is \(3\sqrt{3}\). Dividing by \(\sqrt{3}\) gives (3).

What exam hint can help solve this Mathematics question?

\(\sqrt{243}=9\sqrt{3}\) और \(\sqrt{108}=6\sqrt{3}\), इसलिए अंश \(3\sqrt{3}\) है। \(\sqrt{3}\) से भाग देने पर (3) मिलता है।