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Solve for $k$ . $\newline$ $7 = \sqrt{k}$ $\newline$ $k =$ $\_\_\_\_$

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Solve radical equations

Full solution

Q. Solve for

k

.

\newline

7 = \sqrt{k}

\newline

k =

\_\_\_\_

Identify equation & operation: Identify the equation and the operation needed to isolate $k$ . We have $7 = \sqrt{k}$ . To solve for $k$ , we need to square both sides of the equation to eliminate the square root.
Perform squaring operation: Perform the squaring operation on both sides of the equation: $(7)^2 = (\sqrt{k})^2$ .
Calculate square of $7$ : Calculate the square of $7$ : $(7)^2 = 49$ .
Recognize square root of $k$ : Recognize that the square of the square root of $k$ is just $k$ : $(\sqrt{k})^2 = k$ .
Combine results to find $k$ : Combine the results from the previous steps to find the value of $k$ : $49 = k$ .

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