Understanding the equation: Understand the equation. The equation x^2 = 16 means that we are looking for a number x that when squared (multiplied by itself) equals 16.Taking the square root: Take the square root of both sides of the equation. To find the value of x, we take the square root of both sides of the equation. √(x^2) = √16Simplifying the square roots: Simplify the square root of x^2 and the square root of 16. The square root of x^2 is x, and the square root of 16 is 4. x = ±4Checking for math errors: Check for math errors. We have found that x can be either 4 or -4 because both (4)^2 and (-4)^2 equal 16. No math errors have been made.

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$x^2 = 16$

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Grade 8

Square roots of perfect squares

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x^2 = 16

Understanding the equation: Understand the equation. $\newline$ The equation $x^2 = 16$ means that we are looking for a number $x$ that when squared (multiplied by itself) equals $16$ .
Taking the square root: Take the square root of both sides of the equation. $\newline$ To find the value of x, we take the square root of both sides of the equation. $\newline$ $\sqrt{x^2} = \sqrt{16}$
Simplifying the square roots: Simplify the square root of $x^2$ and the square root of $16$ . $\newline$ The square root of $x^2$ is $x$ , and the square root of $16$ is $4$ . $\newline$ $x = \pm 4$
Checking for math errors: Check for math errors. $\newline$ We have found that $x$ can be either $4$ or $-4$ because both $(4)^2$ and $(-4)^2$ equal $16$ . $\newline$ No math errors have been made.