if r is a positive integer and r ^ 2 is divisible by 12 , then the largest positive integer that must divide r ^ 3 is
since r is an integer so r can not have a 2 and sqrt 3 ( because squaring this will give us a 2 ^ 2 and 3 ( making the product as 12 , and making r ^ 2 as a multiple of 12 ) ) r ^ 2 is divisible by 12 ( 12 = 2 * 2 * 3 ) , so , r should have at least one 2 and one 3 so that r ^ 2 has a 2 ^ 2 and two 3 so , r will have a 2 and a 3 . or r will be a multiple of 6 so , largest possible integer than should divide r ^ 3 is 6 ^ 3 so , answer will be d
power(sqrt(multiply(const_4, power(divide(12, const_4), 2))), const_3)