Mathematical constants | Articles containing proofs | Pythagorean theorem | Quadratic irrational numbers
The square root of 2 (approximately 1.4142) is a positive real number that, when multiplied by itself, equals the number 2. It may be written in mathematics as or , and is an algebraic number. Technically, it should be called the principal square root of 2, to distinguish it from the negative number with the same property. Geometrically, the square root of 2 is the length of a diagonal across a square with sides of one unit of length; this follows from the Pythagorean theorem. It was probably the first number known to be irrational. The fraction 99/70 (≈ 1.4142857) is sometimes used as a good rational approximation with a reasonably small denominator. Sequence in the On-Line Encyclopedia of Integer Sequences consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places: 1.41421356237309504880168872420969807856967187537694807317667973799 (Wikipedia).
Continued Fractions: Square Root of 2
This video focuses on the continued fraction expansion of the square root of 2
From playlist Number Theory
Ex: Solve Quadratic Equations Using Square Roots
This video provides two examples of how to solve quadratic equations using the square root property. Library: http://mathispower4u.com
From playlist Solving Quadratic Equations Using the Square Root Property
From playlist Everyday Applications
Determine the Product to Two Square Roots
#shorts This video explains how to find the product of two square roots. https://mathispower4u.com
From playlist Math Shorts
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
In this video, I have fun composing the digits of the square root of 2 into a song
From playlist Math Play
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
The Square Root of a product is equal to the root of its factors
Examples that multiply different square roots
From playlist Middle School - Worked Examples
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
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.
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
Surds are not scary!! (irrational numbers) Algebra #8
I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Get exam ready for GCSE Maths https://primrosekitt
From playlist Edexcel GCSE Maths Revision
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
Intermediate Algebra-Operations with Radical Expressions
Intermediate Algebra-Operations with Radical Expressions
From playlist Intermediate Algebra
99 Problems #1 - GCSE Edexcel Maths - Q1-20 - exam style questions & revision
Q1-20 of 99 problems of exam style questions for the edexcel higher tier. 99 problems but maths ain't one! paper - http://bit.ly/34leFM2 mark scheme - http://bit.ly/2OguJsZ Topics covered in this video: surds elevations percentage profit full playlist with walkthrough of the whole pap
From playlist 99 problems - GCSE Higher revision
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
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)
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)
Collecting like terms. Algebra #1
I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Get exam ready for GCSE Maths https://primrosekitt
From playlist Edexcel GCSE Maths Revision
How to evaluate the square root of a perfect square number ex 3, root(144)
👉 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