Question

solve for h.
h² = 9
h = or

Explanation:

Step1: Take square root of both sides

To solve for \( h \) when \( h^2 = 9 \), we take the square root of both sides. The square root of a number \( x^2 \) is \( \pm x \) because both \( x \) and \( -x \) when squared give \( x^2 \). So, taking the square root of both sides of \( h^2 = 9 \), we get \( h=\pm\sqrt{9} \).

Step2: Calculate the square root

We know that \( \sqrt{9} = 3 \) because \( 3\times3 = 9 \) and \( (-3)\times(-3)=9 \). So, \( \pm\sqrt{9}=\pm3 \).

Answer:

\( 3 \) or \( -3 \)