Solving Radical Equations
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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 Summary
Step-by-step examples of solving equations with roots and radicals.
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)
= ...
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