Medium Mathematics Chapter 1: Real Numbers Class 10 Level 12

यदि \(N=2^4 \times 3^2 \times 5^2\), तो (N) किस प्रकार की संख्या है?

If \(N=2^4 \times 3^2 \times 5^2\), what type of number is (N)?

Explanation opens after your attempt
Correct Answer

A. पूर्ण वर्गPerfect square

Step 1

Concept

In a perfect square, all prime exponents are even.

Step 2

Why this answer is correct

Here the exponents are (4,2,2), and all are even, so (N) is a perfect square.

Step 3

Exam Tip

To identify a perfect square, check whether the exponents are even. चरण 1: पूर्ण वर्ग में सभी अभाज्य घातें सम होती हैं। चरण 2: यहां घातें (4,2,2) हैं और सभी सम हैं, इसलिए (N) पूर्ण वर्ग है। चरण 3: पूर्ण वर्ग पहचानने के लिए घातों की समता देखें।

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