Question

Find √15256 by division method

​

Answer 1

Answer:

A = Calculate the square root of the greatest perfect square from the list of all factors of 15256. The factors of 15256 are 1, 2, 4, 8, 1907, 3814, 7628, and 15256. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is 2. Therefore, A equals 2.

B = Calculate 15256 divided by the greatest perfect square from the list of all factors of 15256. We determined above that the greatest perfect square from the list of all factors of 15256 is 4. Furthermore, 15256 divided by 4 is 3814, therefore B equals 3814.

Now we have A and B and can get our answer to 15256 in its simplest radical form as follows:

√15256 = A√B

√15256 = 2√3814