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

Given information

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

Simplifying the radical and combine like terms

Simplifying like terms, we get

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

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

Short Answer

Step by step solution

Given information

Simplifying the radical and combine like terms

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In the following exercises, simplify.375y2+8y48-300y2

Short Answer

Step by step solution

Given information

Simplifying the radical and combine like terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

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