Answers (A, C, C, C, C, D, B, D, A, D)
Answer explanations are below.
- Use the product property of square roots. Then simplify the result.
- Find the prime factorization of the radicand. Use the Product Property and simplify the result.
- Multiply by a form of one to remove the radical expression from the denominator. Simplify the result.
- The square root of the quotient is equal to the quotient of each square root. Multiply by a form of one to remove the radical expression from the denominator. Simplify the result.
- Find the conjugate of the denominator. Multiply by a form of one that includes the conjugate. Simplify the result.
- Factor each term using squares and use the Product Property of Radicals. Then, combine the similar radicals to obtain a simplified expression.
- Factor each term using squares and use the Product Property of Radicals. Then, combine the similar radicals to obtain a simplified expression.
- Use the FOIL method to multiply the radicals and use the Product Property of Radicals to simplify the expression.
- Use the FOIL method to multiply the radicals and use the Product Property of Radicals to simplify the expression.
- Multiply the numerator as well as the denominator by the conjugate of the denominator. Use the FOIL method and the difference of squares to simplify the given expression.
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