4th root is same as square root of square root: sqrt(256) = 16, and sqrt(16) = 4
16.
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.
Not necessarily. The square root of 2.56 equals 1.6, and the square root of 0.25 equals 0.5, for two examples. If the decimal represents a rational number that is a fraction of two perfect squares, then the square root will be a rational number. The two examples I gave were 2.56 = 256/100, and 0.25 = 1/4.
162 is 256 and 172 is 289, so YES, √266 is irrational
16 or -16The square root of 256 is 16. 16
No, irrational numbers must continue past the decimal indefinitely, without a pattern, and can't be expressed as a fraction. Not only does 2.56 stop at the hundredth decimal, but it can also be expressed as the fraction 256/100. Its worth noting that 1.999999...forever repeating is also a rational number. Irrational numbers are usually things like pi, the square root of two, etc.
Yes.
The square root of 65536 is 256. This is because the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, 256 multiplied by 256 equals 65536. The square root function is the inverse of squaring a number.
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
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.
16 is a perfect square (of 4) and the square root of 256.
16 x 16 = 256