Assignment:
Q1. Find the square root of 8100
Q2. Find the square root that is the real number √-49
Q3. Find each function value, if it exists f(t) = √t2 + 1
f(0) =
Q4. Find the following. Assume that variables can represent any real number. √(a + 4)2 =
Q5. Rewrite without exponents x1/6 =
Q6. Rewrite with rational exponents 4√xy3z =
Q7. Simplify the expression 1000-5/3
Q8. Use the laws of exponents to simplify 4.25/4 / 4.22/5 =
Q9. Rewrite using only positive rational exponents. (x5/3)-3/4 =
Q10. Use rational exponents to write x1/3 . y1/6 . z1/2 as a single radical expression.
Q11. Simplify by factoring. √700x4 = type an exact answer, using radicals as needed.
Q12. Simplify by factoring. 4√405 =
Q13. Multiply and simplify. Assume that all expressions under the radicals represent nonnegative numbers. √7x √14x =
Q14. Multiply and simplify by factoring. Assume that all expressions under the radicals represent nonnegative numbers. 3√y7 3√81y8 =
Q15. Simplify by factoring. Assume that all expressions under the radicals represent nonnegative numbers. 4√162x4y6 =
Q16. Simplify by factoring. Assume that all expressions under the radicals represent nonnegative numbers. 5√192x12y25 =
Q17. Multiply and simplify by factoring. Assume that all expressions under the radicals represent nonnegative numbers. √3b7 √21c8 =
Q18. Divide then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers. √10a / √5a =
Q19. Divide then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers. 3√88a10b8 / 3√11a8b7 =
Q20. Divide and simplify. Assume that all expressions under radicals represent nonnegative numbers. 4√x3 / 5√x =
Q21. Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. 5√243x9 / y15 =
Q22. Add or subtract. Simplify by collecting like radical terms, if possible. 6√7 - 2√7 + 3√7 =
Q23. Add. Simplify by collecting like radical terms, if possible. 6√45 + 2√125 =
Q24. Add. Simplify by collecting like radical terms, if possible, assuming that all expressions under radicals represent nonnegative numbers. 7√a + 4√63a3
Q25. Multiply. √10 5 - 4√10 =
Q26. Multiply. 3√a (3√[2a2 + 3√16a2])=
Q27. Rationalize the denominator. 15√7 / 7√5 =
Q28. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. 3√3y4 / 3√6x4 =
Q29. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. 3 - √x / 5 + √x =
Q30. Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. √c- √d /√c + √d =
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