Math / Algebra

QuestionSolve the following equation for $B$ . $\begin{array}{l} \sqrt{7 B}=k \\ B=\square \end{array}$

Studdy Solution

STEP 1

1. The equation involves a square root.
2. We need to isolate $B$ by removing the square root.

STEP 2

1. Isolate the square root term.
2. Eliminate the square root by squaring both sides.
3. Solve for $B$ .

STEP 3

The equation is already isolated with respect to the square root term:
$\sqrt{7B} = k$

STEP 4

To eliminate the square root, square both sides of the equation:
$(\sqrt{7B})^2 = k^2$
This simplifies to:
$7B = k^2$

STEP 5

Solve for $B$ by dividing both sides by 7:
$B = \frac{k^2}{7}$
The solution for $B$ is:
$B = \frac{k^2}{7}$

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QuestionSolve the following equation for $B$ . $\begin{array}{l} \sqrt{7 B}=k \\ B=\square \end{array}$

Studdy Solution

STEP 1

1. The equation involves a square root.
2. We need to isolate $B$ by removing the square root.

STEP 2

1. Isolate the square root term.
2. Eliminate the square root by squaring both sides.
3. Solve for $B$ .

STEP 3

The equation is already isolated with respect to the square root term:
$\sqrt{7B} = k$

STEP 4

To eliminate the square root, square both sides of the equation:
$(\sqrt{7B})^2 = k^2$
This simplifies to:
$7B = k^2$

STEP 5

Solve for $B$ by dividing both sides by 7:
$B = \frac{k^2}{7}$
The solution for $B$ is:
$B = \frac{k^2}{7}$

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QuestionSolve the following equation for BBB. 7B=kB=□\begin{array}{l} \sqrt{7 B}=k \\ B=\square \end{array}7B​=kB=□​

Studdy Solution

STEP 1

1. The equation involves a square root.2. We need to isolate B B B by removing the square root.

STEP 2

1. Isolate the square root term.2. Eliminate the square root by squaring both sides.3. Solve for B B B.

STEP 3

The equation is already isolated with respect to the square root term:7B=k \sqrt{7B} = k 7B​=k

STEP 4

To eliminate the square root, square both sides of the equation:(7B)2=k2 (\sqrt{7B})^2 = k^2 (7B​)2=k2This simplifies to:7B=k2 7B = k^2 7B=k2

STEP 5

Solve for B B B by dividing both sides by 7:B=k27 B = \frac{k^2}{7} B=7k2​ The solution for B B B is:B=k27 B = \frac{k^2}{7} B=7k2​

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the following equation for $B$ . $\begin{array}{l} \sqrt{7 B}=k \\ B=\square \end{array}$

1. The equation involves a square root.
2. We need to isolate $B$ by removing the square root.

1. Isolate the square root term.
2. Eliminate the square root by squaring both sides.
3. Solve for $B$ .

The equation is already isolated with respect to the square root term:
$\sqrt{7B} = k$

To eliminate the square root, square both sides of the equation:
$(\sqrt{7B})^2 = k^2$
This simplifies to:
$7B = k^2$

Solve for $B$ by dividing both sides by 7:
$B = \frac{k^2}{7}$
The solution for $B$ is:
$B = \frac{k^2}{7}$