To find the exact perimeter of quadrilateral ABCD, you will need to add radical expressions.
Radical expressions with the same radicands can be added or subtracted
in the same way that monomials are added or subtracted.
Notice that the Distributive Property was used to simplify
each radical expression.
Example
Simplify each expression.
Alternative Solutions:
Alternative Solutions:
Geometry Link
3. Refer to the beginning of the lesson. Find the exact perimeter of quadrilateral
ABCD.
Alternative Solutions:
The
exact perimeter of quadrilateral ABCD is .
In Example
3, the expression cannot be simplified further
for the following reasons.
· The
radicands are different.
· There
are no common factors.
· Each
radicand is in simplest form.
If the
radicals in a radical expression are not in simplest form, simplify them first.
Then use the Distributive Property wherever possible to further simplify the
expression.
Example
Alternative Solutions:
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