Answer
$2x^{1/2}(10x+9)$
Work Step by Step
We simplify:
$6x^{1/2}(2x+3)+x^{3/2}* 8
=2x^{1/2}(3(2x+3)+4x^{2/2})
=2x^{1/2}(6x+9+4x)
=2x^{1/2}(10x+9)$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 80: 104
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