4th root is same as square root of square root: sqrt(256) = 16, and sqrt(16) = 4
16 x 16 = 256
The idea is to take out perfect squares. The largest perfect square in this case is 256, which is the square of 16 (if you have trouble figuring this out, you can take out a smaller perfect square first, and then see if you find additional perfect squares). In any case, the end result should not have a factor that is a perfect square. Using the symbol "root()" for square root: root(512) = root(256 x 2) = root(256) x root(2) = 16 root(2)
It has no pure square root. 16 x 16 =256 but this leaves a remainder of 24.
Look for the largest square number in its factors. The square root of 512 is equal to the square root of 2 times the square root of 256. The square root of 256 is 16. The square root of 512 simplifies to 16 times the square root of 2.
16 or -16The square root of 256 is 16. 16
4th root is same as square root of square root: sqrt(256) = 16, and sqrt(16) = 4
2.56 = 256 / 100 therefore, root (2.56) = root (256) / root (100) =16/10=1.6
The square root of 65536 is equal to 256.
Look for the largest square number in its factors. The square root of 512 is equal to the square root of 2 times the square root of 256. The square root of 256 is 16. The square root of 512 simplifies to 16 times the square root of 2.
16 is a perfect square (of 4) and the square root of 256.
16 x 16 = 256
The positive square root of 256 is 16 because 16 multiplied by 16 equals 256. The negative square root of 256 is -16 because -16 multiplied by -16 also equals 256. In general, for any positive number x, the square roots of x are both a positive and a negative number, with the positive square root being the principal square root.
16.
16
The idea is to take out perfect squares. The largest perfect square in this case is 256, which is the square of 16 (if you have trouble figuring this out, you can take out a smaller perfect square first, and then see if you find additional perfect squares). In any case, the end result should not have a factor that is a perfect square. Using the symbol "root()" for square root: root(512) = root(256 x 2) = root(256) x root(2) = 16 root(2)
256 to the negative one-half power = 0.0625