Example

Simplifying 98162\sqrt{\frac{98}{162}}

Further practice simplifying a square root fraction by reducing it to a perfect square fraction before evaluating. For example, to simplify 98162\sqrt{\frac{98}{162}}:

Simplify inside the radical by identifying common factors: 249281\sqrt{\frac{2 \cdot 49}{2 \cdot 81}}.

Cancel the common factor of 22: 4981\sqrt{\frac{49}{81}}.

Because (79)2=4981\left(\frac{7}{9}\right)^2 = \frac{49}{81}, the evaluated root is 79\frac{7}{9}.

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Updated 2026-05-01

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