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\sqrt{1-\frac{16}{25}}
Calculate -\frac{4}{5} to the power of 2 and get \frac{16}{25}.
\sqrt{\frac{25}{25}-\frac{16}{25}}
Convert 1 to fraction \frac{25}{25}.
\sqrt{\frac{25-16}{25}}
Since \frac{25}{25} and \frac{16}{25} have the same denominator, subtract them by subtracting their numerators.
\sqrt{\frac{9}{25}}
Subtract 16 from 25 to get 9.
\frac{3}{5}
Rewrite the square root of the division \frac{9}{25} as the division of square roots \frac{\sqrt{9}}{\sqrt{25}}. Take the square root of both numerator and denominator.