A tile installer has selected four different size square tiles to cover a floor. The areas of the tiles are:
Tile A = 25 square inches
Tile B = 36 square inches
Tile C = 46 square inches
Tile D = 60 square inches
For which of these tiles are the lengths of the sides irrational?
A and B
B and D
C and D
A and D

Respuesta :

Answer:

C and D

Step-by-step explanation:

The length of the sides will be irrational if it is not a whole number. The tile installer has a square shape, so the formula for area is

area= [tex]side^{2}[/tex]

Since we need to find if the side has the whole number, we can make the function to solve for side

side=[tex]\sqrt{area} }[/tex]

Then the side for each tile installer will be:

A= [tex]\sqrt{25 in^{2} }[/tex]= 5 inch

B= [tex]\sqrt{36 in^{2} }[/tex]= 6 inch

C= [tex]\sqrt{46 in^{2} }[/tex]= 6.78 inch

D= [tex]\sqrt{60 in^{2} }[/tex]= 7.74 inch

Both C and D have irrational sides