Question

is 2352 a perfect square? If not find the number which should be added so that the sum is a perfect square and also find the square root of that number

Answer 1

<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>