Add or subtract. \binom{7 √(2) }{2} - \binom{ √(8) }{2}

Question

Add or subtract.

`\binom{7 √(2) }{2} - \binom{ √(8) }{2}`

Answer 1

Answer:
`(5√(2))/(2)`

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

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Work Shown:


`(7√(2))/(2)-(√(8))/(2)`


`(7√(2))/(2)-(√(4*2))/(2)`


`(7√(2))/(2)-(√(4)*√(2))/(2)`


`(7√(2))/(2)-(2*√(2))/(2)`


`(7√(2)-2*√(2))/(2)`


`(5√(2))/(2)`