First, use the identity: sqrt(x)=e^[ln(x)/2]
Then, calculate ln(x) by using the series:
2*SUM({[1/(2n+1)]*[(x-1)/(x+1)]}^(2n+1),n,0,infinity)
We'll call the above number y
Then calculate e^(y/2) via the expansion e^(y/2)=SUM{[(y/2)^n]/n!,n,0,infinity}
Since it's actually impossible to expand a number out to infinity by hand, you can almost never get the exact value of sqrt(x), but the larger the upper boundary of n you use, the more accurate the approximation.
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∙ 13y agoIt is no tpossible to find the square root of an unknown number. You can, however, represent it as x0.5 or √x so that the value of the square root can be evaluated when the value of x is known.
Since the square root of a number is the "number times itself that equals the original number," it makes sense that the larger the original number, then the larger the square root. The value of the square root of 2 will be greater than the value of the square root of 1.5.
The square root of a negative value is called an imaginary number.
To get the original number, multiply the square root of the number by itself.
to find the square root of a number you need to find the number that multiplied by its self is that number example: the square root on 9 is 3 it is 3 because 3 x 3 - 9
It is no tpossible to find the square root of an unknown number. You can, however, represent it as x0.5 or √x so that the value of the square root can be evaluated when the value of x is known.
Since the square root of a number is the "number times itself that equals the original number," it makes sense that the larger the original number, then the larger the square root. The value of the square root of 2 will be greater than the value of the square root of 1.5.
The square root of a negative value is called an imaginary number.
To get the original number, multiply the square root of the number by itself.
Multiply the square root by itself. After you do that, please discuss the idea of square roots with somebody who knows. You don't understand them yet.
To find the square root of a number you multiply that number by it self twice.(example) the square root of 9 ? the square root of nine is 81 as 9X9=81. square root of 4 ? th square root of is 16 as 4X4=16.
The absolute value of a complex number a+bi is the square root of (a2+b2). For example, the absolute value of 4+9i is the square root of (42 + 92) which is the square root of 97 which is about 9.8489 (The absolute value of a complex number is not complex.)
to find the square root of a number you need to find the number that multiplied by its self is that number example: the square root on 9 is 3 it is 3 because 3 x 3 - 9
square root it
The square root of a value v is a number x such that, x multiplied by x equals v. Note that -x is also a square root.
This is best done if the complex number is in polar coordinates - that is, a distance from the origin, and an angle. Take the square root of the argument (the absolute value) of the complex number; and half the angle.
Press the square root button on your calculator.