By what smallest number 5445 must be multiplied to get a perfect square number?
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For any number to be a perfect square its square root should be an integer. In other words it should be expressed as the product of two equal integers. Say example 9, 16, 25 etc.
So first lets factorize 5445. 5445 = 3* 3* 5* 11 *11. Clearly we see that there is one 5 having no pair and thus needs to removed. Hence we should divide 5445 by 5. Then the number becomes 1089 which can be written as 1089 = 3*3*11*11 , a product of 33 * 33. Thus is a perfect square.
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