Evaluate
\frac{16\sqrt{254}}{15}\approx 16.999869281
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\sqrt{289-15^{-2}}
Calculate 17 to the power of 2 and get 289.
\sqrt{289-\frac{1}{225}}
Calculate 15 to the power of -2 and get \frac{1}{225}.
\sqrt{\frac{65024}{225}}
Subtract \frac{1}{225} from 289 to get \frac{65024}{225}.
\frac{\sqrt{65024}}{\sqrt{225}}
Rewrite the square root of the division \sqrt{\frac{65024}{225}} as the division of square roots \frac{\sqrt{65024}}{\sqrt{225}}.
\frac{16\sqrt{254}}{\sqrt{225}}
Factor 65024=16^{2}\times 254. Rewrite the square root of the product \sqrt{16^{2}\times 254} as the product of square roots \sqrt{16^{2}}\sqrt{254}. Take the square root of 16^{2}.
\frac{16\sqrt{254}}{15}
Calculate the square root of 225 and get 15.
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