Chapter 8: Q12. (page 288)

Simplify
$\frac{\sqrt{5}}{\sqrt{2}}$

Short Answer

Expert verified

The final answer is $\frac{\sqrt{5}}{\sqrt{2}} = \sqrt{\frac{5}{2}} .$

Step by step solution

Step 1. Given information:

The given expression is $\frac{\sqrt{5}}{\sqrt{2}}$ .

Step 2. Concept used.

We have to find the factors of the given numbers in the fraction separately.

Separate the factors into their own square roots.

Step 3. Applying the concept.

Now, as we know that the factor of $2 = 2$ and $5 = 5$ .

$\frac{\sqrt{5}}{\sqrt{2}} = \sqrt{\frac{5}{2}}$

$= \pm \frac{\sqrt{5}}{\sqrt{2}}$

Since square root is positive quantity so we neglect negative sign.

Therefore, the simplified form is $\sqrt{\frac{5}{2}} = \frac{\sqrt{5}}{\sqrt{2}} .$

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
$\frac{\sqrt{5}}{\sqrt{2}}$

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used.

Step 3. Applying the concept.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Simplify52

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used.

Step 3. Applying the concept.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Simplify
$\frac{\sqrt{5}}{\sqrt{2}}$