Simplify. sqrt 20/9 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(20/9). sqrt(20/9) = sqrt(20) / sqrt(9)Evaluate sqrt(20): Evaluate sqrt(20). Find the prime factorization of 20 and try to make identical pairs of factors. sqrt(20) = sqrt(4 * 5) = sqrt(4) * sqrt(5) = 2 * sqrt(5)Find Prime Factorization: Now, let's evaluate sqrt(9). sqrt(9) = sqrt(3 * 3) = 3Evaluate sqrt(9): We found: sqrt(20) = 2 * sqrt(5) sqrt(9) = 3 What is sqrt(20/9)? sqrt(20/9) = (2 * sqrt(5)) / 3

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Simplify. $\newline$ $\sqrt{\frac{20}{9}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{20}{9}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{20}{9}}$ . $\sqrt{\frac{20}{9}} = \frac{\sqrt{20}}{\sqrt{9}}$
Evaluate $\sqrt{20}$ : Evaluate $\sqrt{20}$ . Find the prime factorization of $20$ and try to make identical pairs of factors. $\sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2 \times \sqrt{5}$
Find Prime Factorization: Now, let's evaluate $\sqrt{9}$ . $\newline$ $\sqrt{9} = \sqrt{3 \times 3}$ $\newline$ = $3$
Evaluate $\sqrt{9}$ : We found: $\sqrt{20} = 2 \times \sqrt{5}$ $\sqrt{9} = 3$ What is $\sqrt{\frac{20}{9}}$ ? $\sqrt{\frac{20}{9}} = \frac{2 \times \sqrt{5}}{3}$