Chapter 8: Q 8.73. (page 790)

Simplify
$\sqrt{7 x} - 7 \sqrt{7 x} + 4 \sqrt{7 x}$
$4 \sqrt[4]{5 x y} + 2 \sqrt[4]{5 x y} - 7 \sqrt[4]{5 x y}$

Short Answer

Expert verified

Part a. $- 2 \sqrt{7 x}$

Part b. $- \sqrt[4]{5 x y}$

Step by step solution

Part (a) Step 1. Combine the like radicals

In the expression $\sqrt{7 x} - 7 \sqrt{7 x} + 4 \sqrt{7 x}$ all the radicals are like and so we can combine them. On combining them we get

$\begin{array}{rcl} \sqrt{7 x} - 7 \sqrt{7 x} + 4 \sqrt{7 x} & = & (1 - 7 + 4) \sqrt{7 x} \\ = & - 2 \sqrt{7 x} \end{array}$

Part (b) Step 1. Combine the like radicals

In the expression $4 \sqrt[4]{5 x y} + 2 \sqrt[4]{5 x y} - 7 \sqrt[4]{5 x y}$ , all the radicals are like so we can combine them. On combining them we get

$\begin{array}{rcl} 4 \sqrt[4]{5 x y} + 2 \sqrt[4]{5 x y} - 7 \sqrt[4]{5 x y} & = & (4 + 2 - 7) \sqrt[4]{5 x y} \\ = & - \sqrt[4]{5 x y} \end{array}$

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Simplify
$\sqrt{7 x} - 7 \sqrt{7 x} + 4 \sqrt{7 x}$
$4 \sqrt[4]{5 x y} + 2 \sqrt[4]{5 x y} - 7 \sqrt[4]{5 x y}$

Short Answer

Step by step solution

Part (a) Step 1. Combine the like radicals

Part (b) Step 1. Combine the like radicals

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Simplify7x-77x+47x45xy4+25xy4-75xy4

Short Answer

Step by step solution

Part (a) Step 1. Combine the like radicals

Part (b) Step 1. Combine the like radicals

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.

Simplify
$\sqrt{7 x} - 7 \sqrt{7 x} + 4 \sqrt{7 x}$
$4 \sqrt[4]{5 x y} + 2 \sqrt[4]{5 x y} - 7 \sqrt[4]{5 x y}$