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\sqrt{302500+2500^{5}}
Calculate 550 to the power of 2 and get 302500.
\sqrt{302500+97656250000000000}
Calculate 2500 to the power of 5 and get 97656250000000000.
\sqrt{97656250000302500}
Add 302500 and 97656250000000000 to get 97656250000302500.
50\sqrt{39062500000121}
Factor 97656250000302500=50^{2}\times 39062500000121. Rewrite the square root of the product \sqrt{50^{2}\times 39062500000121} as the product of square roots \sqrt{50^{2}}\sqrt{39062500000121}. Take the square root of 50^{2}.