Question

solve for h.
$h^2 = 100$
$h = \boxed{}$ or $\boxed{}$

Explanation:

Step1: Take square root of both sides

To solve for \( h \) in the equation \( h^2 = 100 \), 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 \( h^2 = 100 \), we get \( h=\pm\sqrt{100} \).

Step2: Calculate the square root

We know that \( \sqrt{100} = 10 \) because \( 10\times10 = 100 \) and \( (-10)\times(-10)=100 \). So, \( h = 10 \) or \( h=-10 \).

Answer:

\( h = 10 \) or \( h = -10 \)