253\sqrt{\frac{25}{3}}

1
Simplify.
253\frac{\sqrt{25}}{\sqrt{3}}

2
Since 5×5=255\times 5=25, the square root of 2525 is 55.
53\frac{5}{\sqrt{3}}

3
Rationalize the denominator: 5333=533\frac{5}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{5\sqrt{3}}{3}.
533\frac{5\sqrt{3}}{3}

Done

Decimal Form: 2.886751

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