What exactly IS a square root? - Mathematics Stack Exchange
10 May 2025 at 5:43pm
Since it's continuous, the square root of any positive real number is always a well-defined positive real number: Given the positive gap-between-rationals which you want to take the square root of, the square root is the positive gap-between-rationals such that any rational greater than the square-root-gap squares to a rational greater than the ...
Derivative of square root - Mathematics Stack Exchange
11 May 2025 at 2:11am
The general guideline of writing the square root as a fractional power and then using the power and chain rule appropriately should be fine however. Also, remember that you can simply pull out a constant when dealing with derivatives - see below.
What does the small number on top of the square root symbol mean?
12 May 2025 at 11:14am
$\begingroup$ Minor point: I notice quite a few elementary algebra books as well as some writers here taking the view that the n-th root of x is defined as x to the power 1/n. I disagree strongly. I disagree strongly.
complex numbers - What is $\sqrt {i}$? - Mathematics Stack Exchange
12 May 2025 at 1:20am
The suaqre root of a (non-negative) real number is non-negative by definition, but is there a similar decision for "the" square root of other (complex) numbers? $\endgroup$ ? Wolfgang Kais Commented Jul 8, 2023 at 17:59
Why the name "square root"? - Mathematics Stack Exchange
12 May 2025 at 5:33pm
Gerolamo Cardano (1501 ? 1576), Ars Magna, on the cubic equations: "Cube the third part of the number of 'things', to which you add the square of half the number of the equation, and take the root of the whole, that is, the square root, which you will use, in the one case adding the half of the number which you just multiplied by itself, in ...
How do you find the square root 289? - Socratic
17 Mar 2025 at 8:05pm
The square root of 289 is 17 So let put 289 in the house. sqrt(289) So the doorbell is literally a 2 unless it states otherwise. So this is asking us what number times itself gives us 289. So when we plug sqrt(289) into our calculator, we get 17. But do we know if it correct? Let square 17. 17^2 = 289 So we know this work or we could of #17*17=289. Either way of checking to ensure 17 is our ...
What is a square root? - Mathematics Stack Exchange
10 May 2025 at 6:40pm
Hence, we find square root of x is n.So, I would say that square root would be to divide the number x in n equal parts such that each group has value n.This is a relatively simple and qualitative argument.Hope this helps you in understanding.
Approximating square roots using binomial expansion.
10 May 2025 at 11:26pm
In fact you can take any two numbers which can be added to get 2 (not nesserly 0.01 but at least you should know the root of one of them So for example $\sqrt{2} = {(1+1)^{1/2}}$ Know all what you need is to expand it using bio theorem and for 2 terms you ll get 1.5
Find the square root of a matrix - Mathematics Stack Exchange
11 May 2025 at 3:18pm
As traditional known the square root of any number would have two result, its cube root would have three ...
Is the square root of a negative number defined?
8 May 2025 at 3:15pm
Square root is defined exactly as much for the real numbers as for the complex numbers. There are two square roots of four, namely ${-2, 2}$ and there are two square roots of $-1$, namely ${-i, i}$. It is irrationally inconsistent to accept that there is a defined square root over the non-negative real number line, but not elsewhere.
WHAT IS THIS? This is an unscreened compilation of results from several search engines. The sites listed are not necessarily recommended by Surfnetkids.com.
10 May 2025 at 5:43pm
Since it's continuous, the square root of any positive real number is always a well-defined positive real number: Given the positive gap-between-rationals which you want to take the square root of, the square root is the positive gap-between-rationals such that any rational greater than the square-root-gap squares to a rational greater than the ...
Derivative of square root - Mathematics Stack Exchange
11 May 2025 at 2:11am
The general guideline of writing the square root as a fractional power and then using the power and chain rule appropriately should be fine however. Also, remember that you can simply pull out a constant when dealing with derivatives - see below.
What does the small number on top of the square root symbol mean?
12 May 2025 at 11:14am
$\begingroup$ Minor point: I notice quite a few elementary algebra books as well as some writers here taking the view that the n-th root of x is defined as x to the power 1/n. I disagree strongly. I disagree strongly.
complex numbers - What is $\sqrt {i}$? - Mathematics Stack Exchange
12 May 2025 at 1:20am
The suaqre root of a (non-negative) real number is non-negative by definition, but is there a similar decision for "the" square root of other (complex) numbers? $\endgroup$ ? Wolfgang Kais Commented Jul 8, 2023 at 17:59
Why the name "square root"? - Mathematics Stack Exchange
12 May 2025 at 5:33pm
Gerolamo Cardano (1501 ? 1576), Ars Magna, on the cubic equations: "Cube the third part of the number of 'things', to which you add the square of half the number of the equation, and take the root of the whole, that is, the square root, which you will use, in the one case adding the half of the number which you just multiplied by itself, in ...
How do you find the square root 289? - Socratic
17 Mar 2025 at 8:05pm
The square root of 289 is 17 So let put 289 in the house. sqrt(289) So the doorbell is literally a 2 unless it states otherwise. So this is asking us what number times itself gives us 289. So when we plug sqrt(289) into our calculator, we get 17. But do we know if it correct? Let square 17. 17^2 = 289 So we know this work or we could of #17*17=289. Either way of checking to ensure 17 is our ...
What is a square root? - Mathematics Stack Exchange
10 May 2025 at 6:40pm
Hence, we find square root of x is n.So, I would say that square root would be to divide the number x in n equal parts such that each group has value n.This is a relatively simple and qualitative argument.Hope this helps you in understanding.
Approximating square roots using binomial expansion.
10 May 2025 at 11:26pm
In fact you can take any two numbers which can be added to get 2 (not nesserly 0.01 but at least you should know the root of one of them So for example $\sqrt{2} = {(1+1)^{1/2}}$ Know all what you need is to expand it using bio theorem and for 2 terms you ll get 1.5
Find the square root of a matrix - Mathematics Stack Exchange
11 May 2025 at 3:18pm
As traditional known the square root of any number would have two result, its cube root would have three ...
Is the square root of a negative number defined?
8 May 2025 at 3:15pm
Square root is defined exactly as much for the real numbers as for the complex numbers. There are two square roots of four, namely ${-2, 2}$ and there are two square roots of $-1$, namely ${-i, i}$. It is irrationally inconsistent to accept that there is a defined square root over the non-negative real number line, but not elsewhere.
WHAT IS THIS? This is an unscreened compilation of results from several search engines. The sites listed are not necessarily recommended by Surfnetkids.com.
