Solve by using the square root property.

{eq}\displaystyle 2 (x + 7)^2 = 40 {/eq}


Solve by using the square root property.

{eq}\displaystyle 2 (x + 7)^2 = 40 {/eq}

Solving Equations using Square Roots

Equations with terms raised to the second-degree exponent requires square roots to be solved. By using a square root, this cancels out the square exponent and it becomes a linear equation which is solvable by transposition and basic arithmetic.

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We are given the equation:

{eq}2 (x + 7)^2 = 40 {/eq}

First, we need to divide both sides by 2 to apply the square root on a single term. After...

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Simplifying Square Roots When not a Perfect Square


Chapter 4 / Lesson 3

When numbers are not perfect squares, their square roots can be challenging, however, it is possible to simplify square roots to make the square roots easier to see and use. Dive into ways the rules of mathematics are used to define perfect and imperfect squares and learn how to evaluate the square root of an imperfect square.

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