Expert Mathematics Chapter 1: Real Numbers Class 10 Level 5

संख्या 52920 को किस सबसे छोटी संख्या से भाग देने पर पूर्ण वर्ग मिलेगा?

By which smallest number should 52920 be divided to get a perfect square?

Explanation opens after your attempt
Correct Answer

A. 30

Step 1

Concept

\(52920=2^3\times3^3\times5\times7^2\).

Step 2

Why this answer is correct

For a perfect square, odd powers of 2, 3, and 5 must be reduced.

Step 3

Exam Tip

Dividing by \(2\times3\times5=30\) leaves \(2^2\times3^2\times7^2\). चरण 1: \(52920=2^3\times3^3\times5\times7^2\)। चरण 2: पूर्ण वर्ग के लिए 2, 3 और 5 की विषम घातें घटानी होंगी। चरण 3: \(2\times3\times5=30\) से भाग देने पर \(2^2\times3^2\times7^2\) बचेगा।

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