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\sqrt{\left(-8\right)^{2}+\left(-1-7\right)^{2}}
Subtract 4 from -4 to get -8.
\sqrt{64+\left(-1-7\right)^{2}}
Calculate -8 to the power of 2 and get 64.
\sqrt{64+\left(-8\right)^{2}}
Subtract 7 from -1 to get -8.
\sqrt{64+64}
Calculate -8 to the power of 2 and get 64.
\sqrt{128}
Add 64 and 64 to get 128.
8\sqrt{2}
Factor 128=8^{2}\times 2. Rewrite the square root of the product \sqrt{8^{2}\times 2} as the product of square roots \sqrt{8^{2}}\sqrt{2}. Take the square root of 8^{2}.