Respuesta :

Answer: [tex]\frac{5\sqrt{2}}{2}[/tex]

This is the fraction of 5*sqrt(2) all over 2
"sqrt" is shorthand for "square root"

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Work Shown:

[tex]\frac{7\sqrt{2}}{2}-\frac{\sqrt{8}}{2}[/tex]

[tex]\frac{7\sqrt{2}}{2}-\frac{\sqrt{4*2}}{2}[/tex]

[tex]\frac{7\sqrt{2}}{2}-\frac{\sqrt{4}*\sqrt{2}}{2}[/tex]

[tex]\frac{7\sqrt{2}}{2}-\frac{2*\sqrt{2}}{2}[/tex]

[tex]\frac{7\sqrt{2}-2*\sqrt{2}}{2}[/tex]

[tex]\frac{5\sqrt{2}}{2}[/tex]