Answer
$\frac{22x+5}{10\sqrt {(x-5)(4x+3)}}$
Work Step by Step
$\sqrt {4x+3}\cdot\frac{1}{2\sqrt {x-5}}+\sqrt {x-5}\cdot\frac{1}{5\sqrt {4x+3}}=\frac{5(4x+3)+2(x-5)}{10\sqrt {x-5}\sqrt {4x+3}}=\frac{22x+5}{10\sqrt {(x-5)(4x+3)}}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A61: 79
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