# Radicals and Rational Exponents and Pythagorean Theorem

1) Solve the following equations.

a)

Answer:

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b)

Answer:

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c)

Answer:

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2) Is an identity (true for all values of x)?

Answer:

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3) For the equation , perform the following:

a) Solve for all values of x that satisfies the equation.

Answer:

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b) Graph the functions y = x and on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.

Graph:

Points of intersection:

4) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides' measurements are 6 feet and 8 feet.

Answer:

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5) Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?

Answer:

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6) The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 1000 cm3.

Answer:

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https://brainmass.com/math/basic-algebra/radicals-and-rational-exponents-and-pythagorean-theorem-70174

#### Solution Summary

Radicals and Rational Exponents and Pythagorean Theorem are investigated. The solution is detailed and well presented.