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\sqrt{289-\frac{\left(40-10\right)^{2}}{4}}
Calculate 17 to the power of 2 and get 289.
\sqrt{289-\frac{30^{2}}{4}}
Subtract 10 from 40 to get 30.
\sqrt{289-\frac{900}{4}}
Calculate 30 to the power of 2 and get 900.
\sqrt{289-225}
Divide 900 by 4 to get 225.
\sqrt{64}
Subtract 225 from 289 to get 64.
8
Calculate the square root of 64 and get 8.