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