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June 9, 2026Mathematics

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Answer

3 steps

Convert the mixed number to an improper fraction.
$2\frac{14}{25} = \frac{(2 \times 25) + 14}{25} = \frac{50 + 14}{25} = \frac{64}{25}$
Find the square root of the improper fraction.
$\sqrt{\frac{64}{25}} = \frac{\sqrt{64}}{\sqrt{25}} = \frac{8}{5}$
Convert the improper fraction back to a mixed number.
$\frac{8}{5} = 1\frac{3}{5}$
Comparing this result with the given options:
A. $1\frac{1}{5}$
B. $1\frac{3}{5}$
C. $1\frac{1}{3}$
D. $1\frac{1}{2}$
E. $1\frac{1}{4}$

The correct option is B.
$\boxed{\text{B. } 1\frac{3}{5}}$

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