Simplify. sqrt 70/9 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(70/9). sqrt(70/9) = sqrt(70) / sqrt(9)Evaluate sqrt(70): Evaluate sqrt(70). Find the prime factorization of 70 to identify any square factors. sqrt(70) = sqrt(2 * 5 * 7) Since there are no pairs of identical factors, we cannot simplify sqrt(70) further.Find Prime Factorization: Now, let's evaluate sqrt(9). sqrt(9) = sqrt(3 * 3) = 3Evaluate sqrt(9): Combine the results from the previous steps. sqrt(70/9) = sqrt(70) / sqrt(9) = sqrt(70) / 3 Since sqrt(70) cannot be simplified further, this is the final simplified form.

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Simplify. $\newline$ $\sqrt{\frac{70}{9}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{70}{9}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{70}{9}}$ . $\sqrt{\frac{70}{9}} = \frac{\sqrt{70}}{\sqrt{9}}$
Evaluate $\sqrt{70}$ : Evaluate $\sqrt{70}$ . Find the prime factorization of $70$ to identify any square factors. $\sqrt{70} = \sqrt{2 \times 5 \times 7}$ Since there are no pairs of identical factors, we cannot simplify $\sqrt{70}$ further.
Find Prime Factorization: Now, let's evaluate $\sqrt{9}$ . $\newline$ $\sqrt{9} = \sqrt{3 \times 3}$ $\newline$ = $3$
Evaluate $\sqrt{9}$ : Combine the results from the previous steps. $\newline$ \sqrt{\frac{70}{9}} = \frac{\sqrt{70}}{\sqrt{9}}$\newline= \frac{\sqrt{70}}{3}$ $\newline$ Since $\sqrt{70}$ cannot be simplified further, this is the final simplified form.