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\sqrt{625+45^{2}}
Calculate 25 to the power of 2 and get 625.
\sqrt{625+2025}
Calculate 45 to the power of 2 and get 2025.
\sqrt{2650}
Add 625 and 2025 to get 2650.
5\sqrt{106}
Factor 2650=5^{2}\times 106. Rewrite the square root of the product \sqrt{5^{2}\times 106} as the product of square roots \sqrt{5^{2}}\sqrt{106}. Take the square root of 5^{2}.