10. ____ numbers are any numbers that cannot be expressed as a quotient of two integers. II. Find the Principal Root by completing the table below. The first one is done for you. n<sup>th</sup> root Radicand, b Root, n Principal Root $\sqrt{-81}$ -81 2 Not Defined 11. $\sqrt{1000}$ 12. $\sqrt[4]{6561}$ 13. $\sqrt[5]{243}$ 14. $\sqrt[3]{-729}$ 15. $\sqrt[5]{3125}$ 16. $\sqrt[4]{-4096}$ 17. $\sqrt[5]{7776}$ 18. $\sqrt[3]{-1000}$ 19. $\sqrt[5]{-121}$ 20. $\sqrt[5]{16807}$
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V1000: The prime factorization of 1000 is 2^3 * 5^3. Since the index of the radical is not given, we assume it to be 2 (square root). So, the principal root of 1000 is V1000 = V(2^3 * 5^3) = 2 * 5 = 10. Show moreβ¦
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