Simplify. sqrt 63/25 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(63/25). sqrt(63/25) = sqrt(63) / sqrt(25)Factorize 63: Find the prime factorization of 63 and try to make identical pairs of factors. sqrt(63) = sqrt(3 * 3 * 7) = sqrt(9 * 7) = sqrt(9) * sqrt(7) = 3 * sqrt(7)Evaluate sqrt(25): Evaluate sqrt(25). sqrt(25) = sqrt(5 * 5) = 5Combine Results: Combine the results from the previous steps. sqrt(63/25) = (3 * sqrt(7)) / 5

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Simplify. $\newline$ $\sqrt{\frac{63}{25}}$

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Math Problems

Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{63}{25}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{63}{25}}$ . $\sqrt{\frac{63}{25}} = \frac{\sqrt{63}}{\sqrt{25}}$
Factorize $63$ : Find the prime factorization of $63$ and try to make identical pairs of factors. $\sqrt{63} = \sqrt{3 \times 3 \times 7} = \sqrt{9 \times 7} = \sqrt{9} \times \sqrt{7} = 3 \times \sqrt{7}$
Evaluate $\sqrt{25}$ : Evaluate $\sqrt{25}$ . $\newline$ $\sqrt{25} = \sqrt{5 \times 5} = 5$
Combine Results: Combine the results from the previous steps. $\sqrt{\frac{63}{25}} = \frac{3 \times \sqrt{7}}{5}$