Question

solve the following equation for h.
\sqrt{7h} = k
h =

Explanation:

Step1: Square both sides of the equation

To eliminate the square root, we square both sides of the equation \(\sqrt{7H} = k\). Squaring the left side gives \(7H\) (since \((\sqrt{a})^2 = a\) for \(a\geq0\)), and squaring the right side gives \(k^2\). So we have the equation \(7H = k^2\).

Step2: Solve for H

To isolate \(H\), we divide both sides of the equation \(7H = k^2\) by 7. Using the division property of equality, we get \(H=\frac{k^2}{7}\).

Answer:

\(\frac{k^2}{7}\)