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  2. Square Root | Definition, Formula & Examples - Lesson - Study.com

    study.com/academy/lesson/finding-square-roots.html

    To find the square root of 225 using these prime numbers, take one number from each set of two and multiply them together: {eq}5\cdot3=15 {/eq}. 15 is the square root of 225.

  3. Principal Square Root | Definition, Calculation & Examples

    study.com/learn/lesson/principal-square-root-overview-examples.html

    The square root of 8 is approximately 2.83, not a whole number; therefore, 8 is not a perfect square. Each number has a positive and negative root Principal Square Roots

  4. Square Root | Definition, Sign & Problems - Lesson | Study.com

    study.com/academy/lesson/square-root-sign-rules-problems.html

    Simplify the following radical: 6 times the square root of the quantity 1 over 2 plus 4 times the square root of 18 minus 8 times the square root of 2. That may look like a lot, but let's work on ...

  5. Exponents & Square Roots | Overview, Rules & Examples

    study.com/learn/lesson/square-root-exponents-rule-examples.html

    Without a calculator, this square root will be approximately between 7 and 8. With a calculator, use the square root button and type in 50, then press enter. The calculator listed that the square ...

  6. Simplifying the Square Root of 50 - Lesson | Study.com

    study.com/academy/lesson/simplifying-the-square-root-of-50.html

    So what is the square root of 50?Recall the definition of square roots.Any two identical factors of a number is a square root. For example, {eq}2\cdot2=4 {/eq}, or {eq}9\cdot9=81 {/eq}. But 50 ...

  7. Square Root of Negative 1 | Solution & Imaginary Numbers

    study.com/academy/lesson/finding-square-root-of-negative-1.html

    The square root of a number is a number multiplied times itself. The {eq}\sqrt-1 = \pm i {/eq}. The unit i was developed years ago when trying to find a solution to the equation {eq}x^2 + 1 = 0 {/eq}.

  8. Square Root of a Number | Adding, Multiplying & Simplifying

    study.com/academy/lesson/adding-square-roots.html

    A square root of any number of interest is the part of that number that may be squared to produce it. 3 x 3 = 9, so the square root of 9 is 3. 1 x 1 = 1, so the square root of 1 is 1. 2.5 x 2.5 ...

  9. Simplifying Square Roots | Overview & Examples - Lesson -...

    study.com/academy/lesson/simplify-square-roots-of-quotients.html

    See examples including the square root of a fraction, the square root of variables, and square roots in the denominator. Updated: 11/21/2023 Table of Contents

  10. Square Root Property | Overview, Formula & Examples

    study.com/learn/lesson/square-root-property.html

    The Square Root Formula is x = {eq}\pm \sqrt{c} {/eq}, which is derived from x{eq}^2 {/eq} = c. C will either be a perfect square, or a number that is the product of two of the same number, or an ...

  11. How to Simplify a Square Root | Algebra | Study.com

    study.com/skill/learn/how-to-simplify-a-square-root-explanation.html

    Simplifying a Square Root. Step 1: Find the prime factors of the number inside the radical sign. Step 2: Group the factors into pairs. Step 3: Pull out one integer outside the radical sign for ...