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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 182 (page 1069)

In the following exercises, simplify. $3 \sqrt{75 y^{2}} + 8 y \sqrt{48} - \sqrt{300 y^{2}}$

Short Answer

Expert verified

On simplification, we get $37 y \sqrt{3}$

Step by step solution

01

Given information

Given the expression , $3 \sqrt{75 y^{2}} + 8 y \sqrt{48} - \sqrt{300 y^{2}}$

02

Simplifying the radical and combine like terms

Simplifying like terms, we get

$3 \sqrt{75 y^{2}} + 8 y \sqrt{48} - \sqrt{300 y^{2}} = 3 \sqrt{25 脳 3 y^{2}} + 8 y \sqrt{16 脳 3} - \sqrt{100 脳 3 y^{2}} 3 \sqrt{75 y^{2}} + 8 y \sqrt{48} - \sqrt{300 y^{2}} = 3 路 5 y \sqrt{3} + 8 y 路 4 \sqrt{3} - 10 y \sqrt{3} 3 \sqrt{75 y^{2}} + 8 y \sqrt{48} - \sqrt{300 y^{2}} = 15 y \sqrt{3} + 32 y \sqrt{3} - 10 y \sqrt{3} 3 \sqrt{75 y^{2}} + 8 y \sqrt{48} - \sqrt{300 y^{2}} = 37 y \sqrt{3}$

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Most popular questions from this chapter

In the following exercises, factor completely.

$8 x^{3} - 27 y^{3}$

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