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\sqrt{22500+120^{2}}
Calculate 150 to the power of 2 and get 22500.
\sqrt{22500+14400}
Calculate 120 to the power of 2 and get 14400.
\sqrt{36900}
Add 22500 and 14400 to get 36900.
30\sqrt{41}
Factor 36900=30^{2}\times 41. Rewrite the square root of the product \sqrt{30^{2}\times 41} as the product of square roots \sqrt{30^{2}}\sqrt{41}. Take the square root of 30^{2}.