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What does the small number on top of the square root symbol mean?
$\begingroup$ 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.
How do you find the square root of 361? + Example - Socratic
361 = 19^2, so sqrt(361) = 19. See explanation for a few methods... Prime Factorisation One of the best ways to attempt to find the square root of a whole number is to factor it into primes and identify pairs of identical factors. This is a bit tedious in the case of 361 as we shall see: Let's try each prime in turn: 2 : No: 361 is not even. 3 : No: The sum of the digits is not a multiple of 3 ...
What is the square root of zero? - Socratic
The sqrt0=0 The sqrt0 will be equal to 0 because 0^2=0. Think of sqrt0 meaning the square root of 0 objects, if you have no objects to square root, then the answer will be 0
How do you use linear approximation to the square root ... - Socratic
The linear approximation of f at a is L(x) = f(a) + f'(a)(x-a). This is one way of writing the equation of the line tangent to the graph of f at (a,f(a)) The function we want to approximate is f(x) = sqrtx. We want to estimate f(8.95) = sqrt 8.95 so we need a value for a that is close to 8.95 and for which we can find f(a). We can readily find f(1) or f(4), but f(5) would be more challenging ...
inequality - Taking the square roots in inequalities - Mathematics ...
I have a question regarding taking square roots in inequalities. I have a problem asking: Suppose $3x^2+bx+7>0$ for every real number x. Show that $|b|<2\\sqrt{21}$. In an earlier question i...
complex numbers - What is $\sqrt {i}$? - Mathematics Stack Exchange
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
Find the square root of a matrix - Mathematics Stack Exchange
As traditional known the square root of any number would have two result, its cube root would have three ...
calculus - Definite Integral of square root of polynomial - Mathematics ...
I need to learn how to find the definite integral of the square root of a polynomial such as: $$\sqrt{36x + 1}$$ or $$\sqrt{2x^2 + 3x + 7} $$ EDIT: It's not guaranteed to be of the same form. It could be any polynomial that can't be easily factored into squares. This isn't homework, I'm studying for a final.
Square Roots and Irrational Numbers - Algebra - Socratic
Guess what the square root of the irrational number is. For example, if your irrational number is 2, you might guess 1.2. Divide the initial irrational number by the guessed number. For example, 2 divided by 1.2 is 1.67. Add the resulting sum to the original guessed number. For example, 1.67 plus 1.2 is 2.87. Divide the new result by 2.
How do you find the square root of 49? - Socratic
The square root of a number is that number which, when multiplied by itself will equal the original number. #4 xx 4 = 16 rArr 4^2 = 16# This means #sqrt16 = 4# To find the square root of a number, find its prime factors. #49 = 7xx7# #sqrt49 = sqrt (7xx7) = sqrt 7^2 = 7# (A square root can also be a negative number.)
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