What exactly IS a square root? - Mathematics Stack Exchange
1 Apr 2025 at 3:59pm
The definition of "the square root of x" is "the positive number y such that y2 equals x". This is an implicit definition, and so it makes sense that it takes a little thought as to how to actually compute it (Trevor Wilson's link is a good one). But as Paul Picard said, don't let the notation x1 / 2 (or similarly x?) fool you into thinking that you're multiplying x by itself half a time (or ...
complex numbers - What is $\sqrt {i}$? - Mathematics Stack Exchange
3 Apr 2025 at 8:35pm
The square root of i is (1 + i)/sqrt (2). [Try it out my multiplying it by itself.] It has no special notation beyond other complex numbers; in my discipline, at least, it comes up about half as often as the square root of 2 does --- that is, it isn't rare, but it arises only because of our prejudice for things which can be expressed using small integers.
What does the small number on top of the square root symbol mean?
4 Apr 2025 at 7:30pm
I just came across this annotation in my school's maths compendium: The compendium is very brief and doesn't explain what this means.
Square root inside a square root - Mathematics Stack Exchange
4 Apr 2025 at 5:04am
The nth root of a number a a: a???n = a1/n a n = a 1 / n. The square root of the square root of x is therefore
inequality - Taking the square roots in inequalities - Mathematics ...
30 Mar 2025 at 1:59pm
I have a question regarding taking square roots in inequalities. I have a problem asking: Suppose 3x2 + bx + 7> 0 for every real number x. Show that |b| <2 21???. In an earlier question it was established that I couldn't take the absolute value of both sides since it is not an equation. However, I could use b2??? =|b| supposing b is a real number. Here is my work for this problem ...
radicals - how come square root of 2 times itself equals 2 ...
4 Apr 2025 at 2:05am
since square root of 2 2 is a irrational number, which we know or assume its decimal part is not a finite number, or doesn't terminate, how come we say that this infinite number (not in terms of being a large number) times itself is equals 2 2.
What is the square root of 0.04? - Socratic
24 Mar 2025 at 12:38am
We can rewrite as sqrt(4/100) = sqrt(4)/sqrt(100) = 2/10 = 1/5 Hopefully this helps!
algebra precalculus - Should the sign be reversed if I square both ...
3 Apr 2025 at 9:04pm
You have to know where zero is to do anything. This is because the function f(x) =x2 () = x 2 is increasing in the interval x ? 0 ? 0 and decreasing in the interval x ? 0 ? 0. The general principle (LEARN THIS! You can later apply it to more difficult functions) is that if you apply an increasing function to both side of an inequality, you keep the original order. OTOH if you apply a ...
radicals - How do I get the square root of a complex number ...
1 Apr 2025 at 10:32pm
The square root is not a well defined function on complex numbers. Because of the fundamental theorem of algebra, you will always have two different square roots for a given number.
calculus - Definite Integral of square root of polynomial - Mathematics ...
2 Apr 2025 at 7:44am
I need to learn how to find the definite integral of the square root of a polynomial such as:
WHAT IS THIS? This is an unscreened compilation of results from several search engines. The sites listed are not necessarily recommended by Surfnetkids.com.
1 Apr 2025 at 3:59pm
The definition of "the square root of x" is "the positive number y such that y2 equals x". This is an implicit definition, and so it makes sense that it takes a little thought as to how to actually compute it (Trevor Wilson's link is a good one). But as Paul Picard said, don't let the notation x1 / 2 (or similarly x?) fool you into thinking that you're multiplying x by itself half a time (or ...
complex numbers - What is $\sqrt {i}$? - Mathematics Stack Exchange
3 Apr 2025 at 8:35pm
The square root of i is (1 + i)/sqrt (2). [Try it out my multiplying it by itself.] It has no special notation beyond other complex numbers; in my discipline, at least, it comes up about half as often as the square root of 2 does --- that is, it isn't rare, but it arises only because of our prejudice for things which can be expressed using small integers.
What does the small number on top of the square root symbol mean?
4 Apr 2025 at 7:30pm
I just came across this annotation in my school's maths compendium: The compendium is very brief and doesn't explain what this means.
Square root inside a square root - Mathematics Stack Exchange
4 Apr 2025 at 5:04am
The nth root of a number a a: a???n = a1/n a n = a 1 / n. The square root of the square root of x is therefore
inequality - Taking the square roots in inequalities - Mathematics ...
30 Mar 2025 at 1:59pm
I have a question regarding taking square roots in inequalities. I have a problem asking: Suppose 3x2 + bx + 7> 0 for every real number x. Show that |b| <2 21???. In an earlier question it was established that I couldn't take the absolute value of both sides since it is not an equation. However, I could use b2??? =|b| supposing b is a real number. Here is my work for this problem ...
radicals - how come square root of 2 times itself equals 2 ...
4 Apr 2025 at 2:05am
since square root of 2 2 is a irrational number, which we know or assume its decimal part is not a finite number, or doesn't terminate, how come we say that this infinite number (not in terms of being a large number) times itself is equals 2 2.
What is the square root of 0.04? - Socratic
24 Mar 2025 at 12:38am
We can rewrite as sqrt(4/100) = sqrt(4)/sqrt(100) = 2/10 = 1/5 Hopefully this helps!
algebra precalculus - Should the sign be reversed if I square both ...
3 Apr 2025 at 9:04pm
You have to know where zero is to do anything. This is because the function f(x) =x2 () = x 2 is increasing in the interval x ? 0 ? 0 and decreasing in the interval x ? 0 ? 0. The general principle (LEARN THIS! You can later apply it to more difficult functions) is that if you apply an increasing function to both side of an inequality, you keep the original order. OTOH if you apply a ...
radicals - How do I get the square root of a complex number ...
1 Apr 2025 at 10:32pm
The square root is not a well defined function on complex numbers. Because of the fundamental theorem of algebra, you will always have two different square roots for a given number.
calculus - Definite Integral of square root of polynomial - Mathematics ...
2 Apr 2025 at 7:44am
I need to learn how to find the definite integral of the square root of a polynomial such as:
WHAT IS THIS? This is an unscreened compilation of results from several search engines. The sites listed are not necessarily recommended by Surfnetkids.com.
