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Solving Radical Equations

Please see attached file for full problem description.

1. Evaluate , if possible.

2. Use a calculator to approximate to the nearest hundredth.

3. Simplify.

4. Simplify.

5. Simplify. Assume x represents a positive number.

6. Simplify.

7. Simplify.

8. Simplify.

9. Simplify.

10. Simplify.

11. Solve.

12. Solve.

13. The base of a ladder is 6 feet away from the wall. The top of the ladder is 6 feet from the floor. Find the length of the ladder to the nearest thousandth.

14. Find the distance between (-7, 1) and (2, -11).

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Solution Preview

Hi there,

I've attached the solutions. I am using the word "sqrt" to represent square roots.

1. Evaluate , if possible.
= 5, because 5*5 = 25

2. Use a calculator to approximate to the nearest hundredth.
7.75 (using a calculator, as asked)

3. Simplify.
= sqrt(9*6)
= 3*sqrt(6)

4. Simplify.
= 10 * sqrt(64*7)
= 70 * sqrt(7)

5. Simplify. Assume x represents a positive number.

= sqrt(32)*sqrt(x4)
= ...

Solution Summary

Step-by-step examples of solving equations with roots and radicals.

$2.19