find the smallest number by which 2475 must be multiplied to get a perfect square
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Answer:
therefore it must be multiplied by 11.
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Answer:
The smallest number to be multiplied by which 2475 must be multiplied to get a perfect square = 11
Step-by-step explanation:
Given number is 2475
To find,
The smallest number to be multiplied with 2475 to get a perfect square
Solution:
The prime factorization of 2475 is 3² × 5² × 11.
That is,
2475 = (3 ×5)² ×11
= 15²×11
To get a perfect square, 15²×11 to be multiplied with 11
That is,
The smallest number by which 2475 must be multiplied to get a perfect square = 11
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