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.