Evaluate
\frac{4\sqrt{29}}{5}\approx 4.308131846
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\sqrt{\left(\frac{8}{5}\right)^{2}+\left(-4\right)^{2}}
Add \frac{3}{5} and 1 to get \frac{8}{5}.
\sqrt{\frac{64}{25}+\left(-4\right)^{2}}
Calculate \frac{8}{5} to the power of 2 and get \frac{64}{25}.
\sqrt{\frac{64}{25}+16}
Calculate -4 to the power of 2 and get 16.
\sqrt{\frac{464}{25}}
Add \frac{64}{25} and 16 to get \frac{464}{25}.
\frac{\sqrt{464}}{\sqrt{25}}
Rewrite the square root of the division \sqrt{\frac{464}{25}} as the division of square roots \frac{\sqrt{464}}{\sqrt{25}}.
\frac{4\sqrt{29}}{\sqrt{25}}
Factor 464=4^{2}\times 29. Rewrite the square root of the product \sqrt{4^{2}\times 29} as the product of square roots \sqrt{4^{2}}\sqrt{29}. Take the square root of 4^{2}.
\frac{4\sqrt{29}}{5}
Calculate the square root of 25 and get 5.
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