0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Vivi
Beau
CoachAdd your answer:
Earn +20 pts
What if the number is unknown to find square root square root?
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.
Does the square root of 2 or 1.5 have the greater value?
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.
What is the square root of 7400?
The square root of 7400 is 86.0232526704. To find the square root of a number, you can use a calculator or a mathematical formula. The square root of a number is a value that, when multiplied by itself, gives the original number.
The square root of a negative value is called an or complex number?
The square root of a negative value is called an imaginary number.
How do you determine the value of the number if you already have your square root?
To get the original number, multiply the square root of the number by itself.
