Answer:
Side= [tex]10\sqrt{2}[/tex]
Step-by-step explanation:
Let one side of square be x, so we can write the area of square formula:
[tex]Area=x^2[/tex]
Now, we know area = 200, so we find x:
[tex]Area = x^2\\200=x^2\\x=\sqrt{200}[/tex]
To get this answer to simplest radical form, we need to know the rule shown below:
[tex]\sqrt{a*b} =\sqrt{a} \sqrt{b}[/tex]
Let' simplify our answer:
[tex]x=\sqrt{200} \\x=\sqrt{25*8}\\ x=\sqrt{25}\sqrt{8} \\ x=5\sqrt{8} \\x=5\sqrt{4*2} \\x=5\sqrt{4} \sqrt{2} \\x=5*2\sqrt{2}\\ x=10\sqrt{2}[/tex]
This is the simplest form since [tex]\sqrt{2}[/tex] can't be broken down further.
