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Simplify radical expressions involving fractionsright chevron icon

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Q. Clever | Portal\newline0408202404082024 Homew\newlineamihq.com/web/viewer. html?state =%7 Bn =\% 7 \mathrm{~B}^{\mathrm{n}} ids \(
  1. Apply Quotient Rule: Apply the quotient rule of radicals to split the square root of the fraction into the square root of the numerator and the square root of the denominator. 634=634\sqrt{\frac{63}{4}} = \frac{\sqrt{63}}{\sqrt{4}}
  2. Find Prime Factorization: Find the prime factorization of 6363 to simplify 63\sqrt{63}.63=3×3×7=9×7=3×7\sqrt{63} = \sqrt{3 \times 3 \times 7} = \sqrt{9 \times 7} = 3 \times \sqrt{7}
  3. Simplify Perfect Square: Simplify 4\sqrt{4} since 44 is a perfect square.\newline4=2×2=2\sqrt{4} = \sqrt{2 \times 2} = 2
  4. Combine Simplified Forms: Combine the simplified forms of 63\sqrt{63} and 4\sqrt{4} to get the final answer.634=3×72\sqrt{\frac{63}{4}} = \frac{3 \times \sqrt{7}}{2}

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