Chapter 8: Q11. (page 288)

Simplify
$\sqrt{\frac{1}{5}}$

Short Answer

Expert verified

The final answer is $\sqrt{\frac{1}{5}} = \frac{1}{\sqrt{5}} .$

Step by step solution

Step 1. Given information:

The given expression is $\sqrt{\frac{1}{5}}$ .

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 $1 = 1$ and $5 = 5$ .

$\sqrt{\frac{1}{5}} = \frac{1}{\sqrt{5}}$

$= \pm \frac{1}{\sqrt{5}}$

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

Therefore, the simplified form is $\sqrt{\frac{1}{5}} = \frac{1}{\sqrt{5}} .$

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Simplify
$\sqrt{\frac{1}{5}}$

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used.

Step 3. Applying the concept.

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Simplify15

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

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Simplify
$\sqrt{\frac{1}{5}}$