Solve for q. sqrt q = 1/4 Write your answer as a fraction. q = _____

Identify Equation and Operation: Identify the equation and the operation needed to isolate q. We need to square both sides of the equation to remove the square root. sqrt q = 1/4 Squaring both sides gives us: (sqrt q)^2 = (1/4)^2Perform Squaring Operation: Perform the squaring operation on both sides of the equation. q = (1/4) * (1/4)Calculate Square: Calculate the square of 1/4. q = 1/16

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Solve for $q$ . $\newline$ $\sqrt{q} = \frac{1}{4}$ $\newline$ Write your answer as a fraction. $\newline$ $q = \_\_\_$

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Algebra 2

Solve radical equations

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Q. Solve for

q

\newline

\sqrt{q} = \frac{1}{4}

\newline

Write your answer as a fraction.

\newline

q = \_\_\_

Identify Equation and Operation: Identify the equation and the operation needed to isolate $q$ . We need to square both sides of the equation to remove the square root. $\sqrt{q} = \frac{1}{4}$ Squaring both sides gives us: $(\sqrt{q})^2 = (\frac{1}{4})^2$
Perform Squaring Operation: Perform the squaring operation on both sides of the equation. $\newline$ $q = \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right)$
Calculate Square: Calculate the square of $\frac{1}{4}$ . $\newline$ $q = \frac{1}{16}$