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\sqrt{360000+500^{2}}
Calculate 600 to the power of 2 and get 360000.
\sqrt{360000+250000}
Calculate 500 to the power of 2 and get 250000.
\sqrt{610000}
Add 360000 and 250000 to get 610000.
100\sqrt{61}
Factor 610000=100^{2}\times 61. Rewrite the square root of the product \sqrt{100^{2}\times 61} as the product of square roots \sqrt{100^{2}}\sqrt{61}. Take the square root of 100^{2}.