Elementary mathematics | Unary operations | Elementary special functions
In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by where the symbol is called the radical sign or radix. For example, to express the fact that the principal square root of 9 is 3, we write . The term (or number) whose square root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this case 9. For nonnegative x, the principal square root can also be written in exponent notation, as x1/2. Every positive number x has two square roots: which is positive, and which is negative. The two roots can be written more concisely using the ± sign as . 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. Square roots of negative numbers can be discussed within the framework of complex numbers. More generally, square roots can be considered in any context in which a notion of the "square" of a mathematical object is defined. These include function spaces and square matrices, among other mathematical structures. (Wikipedia).
Learn how to simplify square root of a number when it is multiplied by another number
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist Simplify the Square Root Expressions
Explain how to take the root of a number even or odd using prime factorization, root
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
How to take the square root of three different types of numbers, root(4), root(18)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Use Prime Factorization to Simplify the Square Root of a Number, sqrt(32)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Simplifying the Square Root of a Number Using a Factor Tree, Sqrt(80)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Evaluate the square root of a perfect square number multiplied
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist Simplify the Square Root Expressions
How to take the square root of a number using prime factorization, sqrt(64)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Using prime factorization to simplify the square root of an expression
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we decompose/factor the expression into a product of two terms that ar
From playlist Simplify the Square Root Expressions
How To Take the Square Root of a Number Using the Identify Element
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Surds are not scary!! (irrational numbers) Algebra #8
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From playlist Edexcel GCSE Maths Revision
Intermediate Algebra-Operations with Radical Expressions
Intermediate Algebra-Operations with Radical Expressions
From playlist Intermediate Algebra
Simplifying Numerical Square Roots 8 Examples
I introduce Simplifying Numerical Square Roots and then work through 8 Examples Square root of a perfect square 7:21 Simplifying a non perfect square 8:06 Simplifying a fraction 9:36 Square root of the sum of two numbers 11:20 Square root of a fraction. Denominator not a perfect square. 1
From playlist PreCalculus (New)
Intermediate Algebra Lecture 10.1: An Introduction to Radicals (Roots) and Radical Functions
https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 10.1: An Introduction to Radicals and Radical Functions
From playlist Intermediate Algebra (Full Length Videos)
36 Times I Found The Missing Side of The Triangle
If you have every struggled with using special right triangles like the 30-60-90 or 45-45-90 triangle to find the missing side then this video is sure to entertain you as we explore 36 different examples given the short leg, long leg and hypotenuse of each. ⭐️ Find the Missing Angle of a
From playlist Trigonometry in Pre-Calculus
Radicals Complete Review - Simplifying, Rationalizing, Equations, Adding & Subtracting
Learn how to work with radicals in this comprehensive review by Mario's Math Tutoring. We go through 20 examples involving simplifying square roots, cube roots, fourth roots, etc. We also go through how to rationalize radicals when there is a radical in the denominator. We discuss workin
From playlist Algebra 2
C1 Surds and Indicies AS Level Maths revision Exam paper practice & help
Edexcel C1 Surds and Indicies AS Level Maths revision Exam paper practice & help. AS - C1 playlist - https://www.youtube.com/playlist?list=PL2De0DVeFj3VVisruoDveJ_5U_2PAZb9k 21 Exam questions that take you through all the types of questions on this topic at this level. Here is a link to th
From playlist C1 Edexcel AS Maths Exam paper practice questions.
Multiplying surds, taking out square factors
Visit http://www.mathsaurus.com/ for more free GCSE and A-level maths videos and resources Visit the Mathsaurus Amazon shop at https://www.amazon.co.uk/shop/mathsaurus to see some of my favourite books and math related products!
From playlist GCSE IGCSE Surds
INTALG 7.5: More Products and Quotients
We consider multiplication for one-on-two terms and two-on-two terms (FOIL). As a special case of FOIL, we review Difference of Two Squares. Finally we describe rationalization for one and two-term denominators.
From playlist COLLEGE ALGEBRA (SPRING 2020)
multiplying radicals (KristaKingMath)
► My Pre-Algebra course: https://www.kristakingmath.com/prealgebra-course In this video we learn how to simplify two radicals that are multiplied together, including ones that have coefficients. We'll also look at factoring a number inside a square root so that we can break it apart into
From playlist Pre-Algebra
Simplify by prime factorization the square root of a prime number
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist Simplify the Square Root Expressions