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- https://math.libretexts.org/Courses/Rio_Hondo/Math_150%3A_Survey_of_Mathematics/01%3A_Foundations/1.04%3A_Exponents\(62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62\) 5 is called the exponent, or power. \(8^5\) is read as "eight to the fifth power," or more simply as "eight to the fifth,...\(62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62\) 5 is called the exponent, or power. \(8^5\) is read as "eight to the fifth power," or more simply as "eight to the fifth," or "the fifth power of eight." When a number is raised to the second power, it is said to be squared. When a number is raised to the third power, it is said to be cubed. When a number is raised to the power of 4 or higher, we simply say that that number is raised to that particular power.
- https://math.libretexts.org/Courses/De_Anza_College/Pre-Statistics/4%3A_Expressions_Equations_and_Inequalities/4.2%3A_Solve_Equations_with_RootsSquare roots occur frequently in a statistics course, especially when dealing with standard deviations and sample sizes. In this section we will learn how to solve for a variable when that variable li...Square roots occur frequently in a statistics course, especially when dealing with standard deviations and sample sizes. In this section we will learn how to solve for a variable when that variable lies under the square root sign. The key thing to remember is that the square of a square root is what lies inside. In other words, squaring a square root cancels the square root.
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/09%3A_Solving_Quadratic_Equations_and_Graphing_Parabolas/9.01%3A_Extracting_Square_RootsThe sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: The height in feet of an object dropped from a 9-foot ladder is given by h(t)\(=−16t^{2}+9\), where t r...The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: The height in feet of an object dropped from a 9-foot ladder is given by h(t)\(=−16t^{2}+9\), where t represents the time in seconds after the object has been dropped. How long does it take the object to hit the ground? (Hint: The height is 0 when the object hits the ground.)
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(Ellis_and_Burzynski)/09%3A_Roots_Radicals_and_Square_Root_Equations/9.02%3A_Square_Root_ExpressionsThe square root of a positive number \(x\) is a number such that when it is squared the number \(x\) results. There is a notation for distinguishing the positive square root of a number \(x\) from the...The square root of a positive number \(x\) is a number such that when it is squared the number \(x\) results. There is a notation for distinguishing the positive square root of a number \(x\) from the negative square root of \(x\). The positive square root of a number is called the principal square root of the number. The negative square root of a number is called the secondary square root of the number.
- https://math.libretexts.org/Courses/Hawaii_Community_College/Hawaii_Community_College_MA82X_Textbook/10%3A_Solving_Quadratic_Equations_and_Graphing_Parabolas/10.01%3A_Extracting_Square_RootsThe sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: The height in feet of an object dropped from a 9-foot ladder is given by h(t)\(=−16t^{2}+9\), where t r...The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: The height in feet of an object dropped from a 9-foot ladder is given by h(t)\(=−16t^{2}+9\), where t represents the time in seconds after the object has been dropped. How long does it take the object to hit the ground? (Hint: The height is 0 when the object hits the ground.)
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.17%3A_Simplifying_Expressions_with_RootsRemember that when a real number \(n\) is multiplied by itself, we write \(n^{2}\) and read it '\(n^{2}\) squared’. This number is called the square of \(n\), and \(n\) is called the square root. \(\b...Remember that when a real number \(n\) is multiplied by itself, we write \(n^{2}\) and read it '\(n^{2}\) squared’. This number is called the square of \(n\), and \(n\) is called the square root. \(\begin{array}{ll}{\text { We write: }} & {\text { We say: }} \\ {n^{2}} & {n \text { squared }} \\ {n^{3}} & {n \text { cubed }} \\ {n^{4}} & {n \text { to the fourth power }} \\ {n^{5}} & {n \text { to the fifth power }}\end{array}\)
- https://math.libretexts.org/Courses/Honolulu_Community_College/Math_75X%3A_Introduction_to_Mathematical_Reasoning_(Kearns)/05%3A_Using_Algebra-_Writing_Solving_and_Manipulating_Some_Different_Types_of_Equations/5.02%3A_Square_RootsOnce you’ve mastered the process of squaring a whole number, then you are ready for the inverse of the squaring process, taking the square root of a whole number.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/03%3A_Exponents_Roots_and_Factorization_of_Whole_Numbers/3.01%3A_Exponents_and_Roots\(62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62\). \(9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9\) \(4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot ...\(62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62 \cdot 62\). \(9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9\) \(4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4\) 5 is called the exponent, or power. \(8^5\) is read as "eight to the fifth power," or more simply as "eight to the fifth," or "the fifth power of eight." \(6 \cdot 6 \cdot 6 \cdot 6 \cdot 6 \cdot 6 \cdot 6 \cdot 6 \cdot 6 = 10,077,696\)
- https://math.libretexts.org/Courses/Barton_Community_College/Book%3A_Technical_Mathematics_(Turner)/03%3A_Decimals/3.07%3A_Introduction_to_Square_RootsOnce you’ve mastered the process of squaring a whole number, then you are ready for the inverse of the squaring process, taking the square root of a whole number.
- https://math.libretexts.org/Courses/Santiago_Canyon_College/HiSet_Mathematica_(Lopez)/23%3A_Raices_Radicales_y_Ecuaciones_de_Raiz_Cuadrada/23.02%3A_Expresiones_de_raiz_cuadradaLa raíz cuadrada de un número positivo\(x\) es un número tal que cuando se cuadra el número\(x\) resulta. Hay una notación para distinguir la raíz cuadrada positiva de un número\(x\) de la raíz cuadra...La raíz cuadrada de un número positivo\(x\) es un número tal que cuando se cuadra el número\(x\) resulta. Hay una notación para distinguir la raíz cuadrada positiva de un número\(x\) de la raíz cuadrada negativa de\(x\). Ya que\((x^3)^2 = x^{3 \cdot 2} - x^6, x^3\) es una raíz cuadrada de\(x^6\). Ya que\((x^4)^2 = x^{4 \cdot 2} = x^8, x^4\) es una raíz cuadrada de\(x^8\). Ya que\((x^6)^2 = x^{6 \cdot 2} = x^{12}, x^6\) es una raíz cuadrada de\(x^{12}\).
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/01%3A_Chapters/1.13%3A_Simplifying_Square_RootsFinding a square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself.
