Calculate the 9th root of 274.

March 16, 2026Mathematics

ScanSolve AI Answer

March 16, 2026

Answer

$\dfrac{9\sqrt{74}}{74}$

Step 1: Start with the given expression $\dfrac{9}{\sqrt{74}}$ .

Step 2: Multiply numerator and denominator by $\sqrt{74}$ to rationalize the denominator.

\dfrac{9}{\sqrt{74}} \cdot \dfrac{\sqrt{74}}{\sqrt{74}} = \dfrac{9\sqrt{74}}{\sqrt{74} \cdot \sqrt{74}}

Step 3: Simplify the denominator.

\dfrac{9\sqrt{74}}{74}

Step 4: Check if the fraction can be simplified further. The greatest common divisor of 9 and 74 is 1, since $74 = 2 \times 37$ .

Thus, $\dfrac{9\sqrt{74}}{74}$ is in simplest form.

Final answer: $\mathbf{\dfrac{9\sqrt{74}}{74}}$
\dfrac{9\sqrt{74}{74}}

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