We read your photo as:

Calculate the 9th root of 274.

March 16, 2026Mathematics

ScanSolve AI Answer

Answer

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

4 steps

Start with the given expression $\dfrac{9}{\sqrt{74}}$ .
Multiply numerator and denominator by $\sqrt{74}$ to rationalize the denominator.
$\dfrac{9}{\sqrt{74}} \cdot \dfrac{\sqrt{74}}{\sqrt{74}} = \dfrac{9\sqrt{74}}{\sqrt{74} \cdot \sqrt{74}}$
Simplify the denominator.
$\dfrac{9\sqrt{74}}{74}$
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}

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question