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sqrt((49)/(81))=

$\sqrt{\frac{49}{81}}=$

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Simplify radical expressions

Full solution

Q.

\sqrt{\frac{49}{81}}=

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{49}{81}}$ . $\sqrt{\frac{49}{81}} = \frac{\sqrt{49}}{\sqrt{81}}$
Find Square Root of Numerator: Find the square root of the numerator. $\sqrt{49} = \sqrt{7 \times 7} = 7$
Find Square Root of Denominator: Find the square root of the denominator. $\sqrt{81} = \sqrt{9 \times 9} = 9$
Combine Square Roots: Combine the square roots to get the final answer. $\sqrt{\frac{49}{81}} = \frac{\sqrt{49}}{\sqrt{81}} = \frac{7}{9}$

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