The root of ab is the same as the root of a multiplied by the root of b.
So root 200 = root 100 x root 2
root 100 is 10, root 2 is an irrational number.
Multiplying 10 by an irrational number gives an irrational number. Therefore, root 200 never ends.
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because the square root of 200 has a decimal that doesn't end or repeat. like pi 3.141592654........ no repetition/pattern and it goes on forever so it is irrational
Yes.You can square root any number. Though, please note, if you square root a negative number then you end up with what is called an imaginary number.square root of 65,536 = 256square root of 256 = 16square root of 16 = 4square root of 4 = 2square root of 2 = 1.41421 (rounded)
plug it into a calculator - (square root symbol, insert value of volume, end parenthesis)/(height value, pi symbol)
For example, in the case of integers: the square root of a positive integer is either an integer (in the case of perfect squares, such as the square root of 1, 4, 9, 16, etc.), or an irrational number (such as the square root of 2, 3, 5, 6, etc.). Similar in the case of the square root of a rational number (fraction): if you don't specifically choose fractions with perfect squares in the numerator and denominator (e.g., 4/9), you will end up with an irrational square root.
Please note that the square root of a negative number is an imaginary number. Many calculators are unable to calculate that.Take the square root of 90 (any calculator can do that). Then attach an "i" at the end of the number, to indicate the imaginary unit.