https://math.libretexts.org › Bookshelves › Algebra › Elementary_Algebra_(LibreTexts) › 01...

Simplify a square root by looking for the largest perfect square factor of the radicand. Once a perfect square is found, apply the property \(\sqrt{a⋅b}=\sqrt{a}⋅\sqrt{b}\), where \(a\) and \(b\) are nonnegative, and simplify.

https://math.libretexts.org › Bookshelves › Applied_Mathematics › Developmental_Math_(NROC...

Write repeated factors using exponential notation. Find a square root of a perfect square.

https://courses.lumenlearning.com › ... › chapter › 1-2-5-square-roots-and-exponents

Base: the number being raised to a power in an exponential expression. Exponent: the power the base is being raised to in an exponential expression. Radical: the sign used to indicate square root: \displaystyle \sqrt {} √. Square root: a number when squared gives the number under the radical.

https://mathhints.com › intermediate-algebra › exponents-and-radicals-roots

When taking the square root (or any even root), we always take the positive value (just memorize this). For example, $ \sqrt {4}=2$. But when solving for an even root in an equation, we have to take plus and minus; for example: $ { {x}^ {2}}=4;\,\,x=\pm 2$.

https://www.mathsisfun.com › algebra › exponents-roots-logarithms.html

Exponents, Roots (such as square roots, cube roots etc) and Logarithms are all related! Let's start with the simple example of 3 × 3 = 9: Using Exponents we write it as: 3 2 = 9. When any of those values are missing we have a question, each with a different notation: 3 2 = ? is the exponent question "what is 3 squared?": 32 = 9. ? 2 = 9.

https://brownmath.com › alge › expolaws.htm

An exponent is simply shorthand for multiplying that number of identical factors. So 4³ is the same as (4) (4) (4), three identical factors of 4. And x ³ is just three factors of x, (x) (x) (x). One warning: Remember the order of operations.

https://www.intmath.com › numbers › 4-powers-roots-radicals.php

Roots and Radicals. We use the radical sign: `sqrt(\ \ )` It means "square root". The square root is actually a fractional index and is equivalent to raising a number to the power 1/2. So, for example: `25^(1/2) = sqrt(25) = 5` You can also have. Cube root: `root(3)x` (which is equivalent to raising to the power 1/3), and

https://davenport.libguides.com › math-skills-overview › exponents › square-roots

Definitions: From Wolfram MathWorld: Any nonnegative real number x has a unique nonnegative square root r; this is called the principal square root and is written. r = x(1 2) r = x (1 2) or. r = x−−√ r = x. In common usage, unless otherwise specified, "the" square root is generally taken to mean the principal square root.