Apply Quotient Rule: Apply the quotient rule of radicals to sqrt((49)/(81)). sqrt((49)/(81)) = sqrt(49) / sqrt(81)Find Square Root of Numerator: Find the square root of the numerator. sqrt(49) = sqrt(7 × 7) = 7Find Square Root of Denominator: Find the square root of the denominator. sqrt(81) = sqrt(9 × 9) = 9Combine Square Roots: Combine the square roots to get the final answer. sqrt((49)/(81)) = sqrt(49) / sqrt(81) = 7 / 9

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

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Math Problems

Algebra 1

Simplify radical expressions

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\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. $\sqrt{\frac{49}{81}} = \frac{\sqrt{49}}{\sqrt{81}} = \frac{7}{9}$