# Pre-Algebra Examples

The surface area of a pyramid is equal to the sum of the areas of each side of the pyramid. The base of the pyramid has area , and and represent the slant height on the length and slant height on the width.
Substitute the values of the length , the width , and the height into the formula for surface area of a pyramid.
Simplify each term.
Multiply by .
Apply the product rule to .
Raise to the power of .
Raise to the power of .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Rewrite as .
Simplify the denominator.
Rewrite as .
Pull terms out from under the radical.
The absolute value is the distance between a number and zero. The distance between and is .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Divide by .
One to any power is one.
Raise to the power of .