Sep 20, 2015 · The principal square root of minus one is i. It has another square root -i. I really dislike the expression "the square root of minus one". Like all non-zero numbers, -1 has two square roots, which we call i and -i. If x is a Real number then x^2 >= 0, so we need to look beyond the Real numbers to find a square root of -1. Complex numbers can be thought of as …

$\begingroup$ 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.

Sep 8, 2015 · 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 …

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

Jul 22, 2016 · 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.)

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...

You are referring to the principal square root. From Wikipedia: "Although the principal square root of a positive number is only one of its two square roots, the designation 'the square root' is often used to refer to the principal square root."

Apr 2, 2016 · See process and examples below. In scientific notation numbers are written in the form x xx10^n, where n is an integer and x is in limits [1,10) i.e. 1<=x<10. Examples:- 53246.6 is written as 5.32466xx10^4 46870000 is written as 4.687xx10^7 0.0007925 is written as 7.925xx10^-4 0.0000213 is writen as 2.13xx10^-5 To extract square root of such numbers (a) …

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.

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.