Square roots are computed using the Babylonian method, calculators, Newton's method, or the Rough estimation method.
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Or the Newton-Raphson method.
The 8th root
The principal square root is the non-negative square root.
Square root of 5 time square root of 6 is the same as square root of 5 x 6, that is, square root of 30.
No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.
square root 6
x=square root (-2) =i(square root of 2)WHERE i2 =-1
See the related link for a detailed description of a manual method for calculating square roots.
ENIAC took ~1/3 of a second to compute a square root.
The answer is an imaginary number, because of the negative under the square root. The same number multiplied together will always be a positive number. For example, if you square negative one, the answer is positive one, because a negative times a negative is a positive. Because a square root undoes a square, there is no solution to the square root of a negative number. That's why your calculator could not compute this problem. However, there is a way to solve these types of problems by using imaginary numbers. The answer is 13i, where i is the square root of negative one.
It seems you already have the result. What is it you want to compute, and based on what data?
The square root of the square root of 2
The 8th root
meow?
Well, it's both: you're using a machine to compute an approximation. Why isn't it exact? Most square roots (such as the square root of two) are irrational numbers, so their decimal representation requires an infinite number of digits. We humans have to have finite answers, hence we round off.
square root of (2 ) square root of (3 ) square root of (5 ) square root of (6 ) square root of (7 ) square root of (8 ) square root of (9 ) square root of (10 ) " e " " pi "
There are infinitely many of them. They include square root of (4.41) square root of (4.42) square root of (4.43) square root of (4.44) square root of (4.45) square root of (5.3) square root of (5.762) square root of (6) square root of (6.1) square root of (6.2)
It's not a square if it has no root. If a number is a square then, by definition, it MUST have a square root. If it did not it would not be a square.