Concept explainers
In Exercises 29-66, perform the indicated operations. These exercises involve addition and subtraction when denominators are different. Simplify the result, if possible.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Intermediate Algebra for College Students (7th Edition)
- Simplify the expression by first pulling out any common factors in the numerator and then expanding and/or combining like terms from the remaining factor. (3x + 2)¹/2 − (x + 3)(3x + 2)−1/2 3x + 2arrow_forwardRationalize the denominator and simplify. V2 - V5 V5 - v2 一口 V2 - V5 V5 - v2arrow_forward5. Explain how we rationalize a denominator, then complete the following steps to rationalizearrow_forward
- Simplify the expression by first getting a common denominator, then pulling out any common factors in the numerator, and finally expanding and/or combining like terms from the remaining factor. (6x + 1)5 6√ x² + x 7(6x + 1)³√√√√x² + x +arrow_forward2. Simplify. a) (24m +3n) / (2-2m+2n) b) (3x²)²(3x²) c) 8x²y/32xyarrow_forwardEvaluate (-2 +2i )5arrow_forward
- Simplify the expression by rationalizing the denominator. √33 √11 +2 √33 11 +2 (Type an exact answer, using radicals as needed.)arrow_forwardDetermine whether the statement makes sense or does not make sense, and explain your reasoning. When performing the division[(7x/x + 3) ÷(x + 3)2/x - 5)],I began by dividing the numerator and the denominator by the common factor, x + 3.arrow_forwardWrite the conjugate of the expression. 8 – 4V11arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell