Respuesta :

Answer:

22.63 inches

Step-by-step explanation:

Length of the square monitor = 16 inches

Width of the square monitor = 16 inches

Let the diagonal of the monitor = l inches

Then the square of the diagonal is given by sum of the squares of length and width.

[tex]\[l^{2}=16^{2}+16^{2}\][/tex]

[tex]\[=> l^{2}=256+256\][/tex]

[tex]\[=> l^{2}=512\][/tex]

[tex]\[=> l=\sqrt{512}\][/tex]

[tex]\[=> l=22.63\][/tex]

Hence the length of the diagonal is 22.63 inches.