Radicals
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1. Simplify.
A)
B)
C)
D)
2. Simplify. Assume x represents a positive number.
3. Evaluate , if possible.
A) 8
B) 4
C) 2
D) Not a real number
4. Simplify.
5. The base of a ladder is 8 feet away from the wall. The top of the ladder is 13 feet from the floor. Find the length of the ladder to the nearest thousandth.
A) 15.264 feet
B) 13.132 feet
C) 17.565 feet
D) 14.243 feet
6. Find the length x. Express your answer in simplified radical form.
A) 18 ft
B) 24 ft
C) 10 ft
D) 68 ft
7. Simplify. Assume x represents a positive number.
8. Simplify.
A) 5
B)
C)
D) 3
9. Simplify.
10. Determine whether is rational or irrational.
A) Rational
B) Irrational
11. Solve.
A) 26
B) 6
C) 0
D) No solution
12. Solve.
13. Simplify.
14. Simplify.
15. Simplify.
A)
B)
C)
D) Cannot be simplified
16. Find the distance between (7, 0) and (-4, 0).
A) 3
B) 11
C)
D) 14
17. Determine whether is rational or irrational.
A) Rational
B) Irrational
18. Simplify.
A)
B)
C)
D) Cannot be simplified
19. Simplify.
20. Evaluate , if possible.
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Solution Summary
Twenty problems involving the simplifying of radical expressions and solving radical equations are solved.
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