Chapter 8: Q. 8.74 (page 790)

Simplify
$4 \sqrt{3 y} - 7 \sqrt{3 y} + 2 \sqrt{3 y}$
$6 \sqrt[3]{7 m n} + \sqrt[3]{7 m n} - 4 \sqrt[3]{7 m n}$

Short Answer

Expert verified

Part a. $- \sqrt{3 y}$

Part b. $3 \sqrt[3]{7 m n}$

Step by step solution

Part (a) Step 1. Combine the like radicals

In the expression $4 \sqrt{3 y} - 7 \sqrt{3 y} + 2 \sqrt{3 y}$ , all the radicals are like and so we can combine them. On combining them we get

$\begin{array}{rcl} 4 \sqrt{3 y} - 7 \sqrt{3 y} + 2 \sqrt{3 y} & = & (4 - 7 + 2) \sqrt{3 y} \\ = & - \sqrt{3 y} \end{array}$

Part (b) Step 1. Combine the like radicals

In the expression $6 \sqrt[3]{7 m n} + \sqrt[3]{7 m n} - 4 \sqrt[3]{7 m n}$ , all the radicals are like and so we can combine them. On combining them we get

$\begin{array}{rcl} 6 \sqrt[3]{7 m n} + \sqrt[3]{7 m n} - 4 \sqrt[3]{7 m n} & = & (6 + 1 - 4) \sqrt[3]{7 m n} \\ = & 3 \sqrt[3]{7 m n} \end{array}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Simplify
$4 \sqrt{3 y} - 7 \sqrt{3 y} + 2 \sqrt{3 y}$
$6 \sqrt[3]{7 m n} + \sqrt[3]{7 m n} - 4 \sqrt[3]{7 m n}$

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

Applied Mathematics

Logic and Functions

Pure Maths

Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify43y-73y+23y67mn3+7mn3-47mn3

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

Applied Mathematics

Logic and Functions

Pure Maths

Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify
$4 \sqrt{3 y} - 7 \sqrt{3 y} + 2 \sqrt{3 y}$
$6 \sqrt[3]{7 m n} + \sqrt[3]{7 m n} - 4 \sqrt[3]{7 m n}$