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Square roots of fractions and decimals

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Learn it Square-root the numerator and denominator separately. For decimals, use the matching whole number: $\sqrt{0.49} = 0.7$ because $7 \times 7 = 49$.

Example: Find $\sqrt{\frac{81}{196}}$ and $\sqrt{1.44}$.

  1. $\sqrt{81} = 9$ and $\sqrt{196} = 14$, so $\frac{9}{14}$.
  2. $12 \times 12 = 144$, so $\sqrt{1.44} = 1.2$.

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