Chapter 8: Q10. (page 291)

Simplify each expression.
${(\frac{\sqrt{2}}{2})}^{2}$

Short Answer

Expert verified

The simplified form is,

${(\frac{\sqrt{2}}{2})}^{2} = \frac{1}{2}$ .

Step by step solution

Step 1. Given information.

The given expression is,

${(\frac{\sqrt{2}}{2})}^{2}$ .

Step 2. It can be further written as below.

We have the given expression is ${(\frac{\sqrt{2}}{2})}^{2}$

Then,

$\begin{matrix} {(\frac{\sqrt{2}}{2})}^{2} = (\frac{\sqrt{2}}{2}) (\frac{\sqrt{2}}{2}) \\ = (\frac{\sqrt{2} . \sqrt{2}}{2^{2}}) \\ = (\frac{\sqrt{2^{2}}}{2^{2}}) \\ = (\frac{2}{4}) \\ = \frac{1}{2} \end{matrix}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

Therefore, the simplified form is, ${(\frac{\sqrt{2}}{2})}^{2} = \frac{1}{2}$ .

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Simplify each expression.
${(\frac{\sqrt{2}}{2})}^{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. It can be further written as below.

Step 3. Neglect negative sign.

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Simplify each expression.222

Short Answer

Step by step solution

Step 1. Given information.

Step 2. It can be further written as below.

Step 3. Neglect negative sign.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Discrete Mathematics

Pure Maths

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

Simplify each expression.
${(\frac{\sqrt{2}}{2})}^{2}$