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# Radical expressions: simplify, perimeters, area

Evaluate if possible: [See attachment for the formatted questions].

Find the time required for an object to fall to the ground from a building that is 1400ft high. Formula [attached] is the distance fallen.

Use property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers.

Use property 2 to simplify each of the following radical expressions.

Use the properties for radicals to simplify each of the following expressions. Assume that all variables represent positive real numbers.

Simplify by combining like terms.

Find the perimeter of the triangle if the sides are as followed.

Perform the indicated multiplication. Then simplify each radical expression.

Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression.

Find the area of the rectangle if the sides are...

#### Solution Preview

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Evaluate if possible

In order to simplify radical expressions, you have to look for largest possible squares in it.

1.

(where i= )

2.

3. (You should note that is the real root from the three roots available.)

4. Find the time required for an object to fall to the ground from a building that is 1400ft high. Formula t= s is the distance fallen.

Given t=
Also s=1400ft.
Then,
Time required

Use property 1 ...

#### Solution Summary

Seventeen radical expression problems are solved.

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