Asked by Manisha
Divide the number 52728 by the smallest number so that the quotient is a perfect square find the square root of the quotient
Answers
Answered by
oobleck
52728 = 2^3 * 3 * 13^3
a perfect square will have all even powers, so divide by 2*3*13 = 78
52728/78 = 2^2 * 13^2
so the root will be 2*13 = 26
a perfect square will have all even powers, so divide by 2*3*13 = 78
52728/78 = 2^2 * 13^2
so the root will be 2*13 = 26