What is the simplified form of each expression?
The radicands are different. You cannot combine the expressions.
Can you always simplify a radical sum?
No. The radicands and the indexes must be the same.
The indexes are different. You cannot combine the expressions.
Architecture In the stained-glass window design, the side of each small square is 5 in. Find the perimeter of the window to the nearest tenth of an inch.
Length of the diagonal of a square with side s:
Length of the diagonal of each 5-inch square:
Does it make sense that you have a radical expression as the answer?
Yes, because perimeter is a linear measure, and there is no squaring in the calculations.
The perimeter of the window is about 70.7 inches.