Chapter 9: Q. 340 (page 1090)

In the following exercises, simplify.
$\frac{6 - \sqrt{45}}{12}$

Short Answer

Expert verified

The simplified expression can be given as $\frac{2 - \sqrt{5}}{4}$

Step by step solution

Given information

We are given a expression $\frac{6 - \sqrt{45}}{12}$

Simplify the radical

We have,

$\frac{6 - \sqrt{45}}{12} = \frac{6 - \sqrt{9} \cdot \sqrt{5}}{12} = \frac{6 - 3 \sqrt{5}}{12}$

Cancel the common factor and simplify

We get,

$\frac{6 - 3 \sqrt{5}}{12} = \frac{3 (2 - \sqrt{5})}{12} = \frac{2 - \sqrt{5}}{4}$

Conclusion

The simplified expression can be given as $\frac{2 - \sqrt{5}}{4}$

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.

In the following exercises, simplify.
$\frac{6 - \sqrt{45}}{12}$

Short Answer

Step by step solution

Given information

Simplify the radical

Cancel the common factor and simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Statistics

Applied Mathematics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.6-4512

Short Answer

Step by step solution

Given information

Simplify the radical

Cancel the common factor and simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Statistics

Applied Mathematics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$\frac{6 - \sqrt{45}}{12}$