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is 2352 a perfect square? if …

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is 2352 a perfect square? if not, find the smallest multiple of 2352 which is a perfect square. find the square root of the new number

Posted by Japneet Chawla 6 years, 9 months ago

CBSE > Class 08 > Mathematics

1 answers

Shweta Gulati 6 years, 9 months ago

<pre> 2352 = 2⁴∙3∙7² The primes 2 and 7 already have even powers, so we must multiply by 3 so that the 3 will also have an even power. So we must multiply by 3: 2352∙3 = 2⁴∙3²∙7² The answer is 3. Then the perfect square will be 7056, which is 2⁴∙3²∙7² and (2²∙3∙7)² = (4∙3∙7)² = 84²</pre>

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