Question

solve the following equation for d.
\sqrt{cd} = 4

d =

Explanation:

Step1: Square both sides to eliminate root

To solve for \( D \) in the equation \( \sqrt{cD} = 4 \), we first square both sides of the equation. Squaring the left side will eliminate the square root, and squaring the right side will give us a new value. So, we have:

$$ (\sqrt{cD})^2 = 4^2 $$

Simplifying both sides, the square root and the square on the left cancel out, and \( 4^2 = 16 \), so we get:

$$ cD = 16 $$

Step2: Solve for D by dividing by c

Now, to isolate \( D \), we divide both sides of the equation \( cD = 16 \) by \( c \) (assuming \( c
eq 0 \)). This gives us:

$$ D = \frac{16}{c} $$

Answer:

\( \dfrac{16}{c} \)