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Roots and Radicals 1. 2. 3. 4. 5. 6. 7. 8. 9. Key 81 16 12 23 3 125 5 4 16 2 5 1 8 3 2 1 2 6 36 7 49 1 1 2 1 10. 8 64 81 9 11. 64 8 12. 100 10 121 11 13. Nope. If x is less than -1, then x 1 will simplify to have a negative under the radical and will not be real. 14. Any real number squared is positive. If you add 1, it is still positive, which means the square root will be real. 15. The cube root of any real number is real. Cube roots of positive numbers are positive. Cube roots of negative numbers are negative. The cube root of zero is zero. Pre-Algebranomicon (;,;)