Evaluate
15\sqrt{10}\approx 47.434164903
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\sqrt{225+45^{2}}
Calculate 15 to the power of 2 and get 225.
\sqrt{225+2025}
Calculate 45 to the power of 2 and get 2025.
\sqrt{2250}
Add 225 and 2025 to get 2250.
15\sqrt{10}
Factor 2250=15^{2}\times 10. Rewrite the square root of the product \sqrt{15^{2}\times 10} as the product of square roots \sqrt{15^{2}}\sqrt{10}. Take the square root of 15^{2}.
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