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\sqrt{\left(-4\right)^{2}+\left(7-6\right)^{2}}
Subtract 8 from 4 to get -4.
\sqrt{16+\left(7-6\right)^{2}}
Calculate -4 to the power of 2 and get 16.
\sqrt{16+1^{2}}
Subtract 6 from 7 to get 1.
\sqrt{16+1}
Calculate 1 to the power of 2 and get 1.
\sqrt{17}
Add 16 and 1 to get 17.