Answer:
22.63 inches
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.
![\[l^(2)=16^(2)+16^(2)\]](https://img.qammunity.org/2021/formulas/mathematics/college/p75lnbfgipwtktwg7moyhcmedke42cp1dx.png)
![\[=> l^(2)=256+256\]](https://img.qammunity.org/2021/formulas/mathematics/college/ynlcaixgovv5je9igh1mrcax0br914nep4.png)
![\[=> l^(2)=512\]](https://img.qammunity.org/2021/formulas/mathematics/college/2oxhae132lwg4qly1iga0jav9f0nd4n9m4.png)
![\[=> l=√(512)\]](https://img.qammunity.org/2021/formulas/mathematics/college/y1lsysvnvq942q1wbnlquw3b5f7oxw09ky.png)
![\[=> l=22.63\]](https://img.qammunity.org/2021/formulas/mathematics/college/3jpfa3d5zlio5oe03eikyl7wkwbgnl9if3.png)
Hence the length of the diagonal is 22.63 inches.