1. Add 5√10 + √10
2. Subtract 11√19 - 5√19
3. Multiply (5√19) (6√2). Give exact answer
4. Divide √95/3√5. Give exact answer
5. Divide 36√39/9√13. Provide an exact answer.
6. Simplify √48.
7. Simplify ^3√54
8. What is the irrational square root √63 rewritten as the product of an integer and another irrational square root, in simplest form?
9. What is the irrational cube root ^3√81 rewritten as a product of an integer and another irrational cube root?
10. Find the square root of 169: √169
11. Find the cube root of −729 : ^3√-729
12. Find the cube root of −8 : ^3√-8
13. Find the cubic root of 135.
14. What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for π.
15. Rewrite the irrational cube root ^3√189 as the product of an integer and another irrational cube root. Show your work.
1. 6√10
2. 6√19
3. 30√38
4. (√19 * √5) / (3√5) = √19 / 3
5. 4√3
6. 4√3
7. ∛(2 * 3^2)
= ∛2 * ∛(3^2)
= ∛2 * 3
= 3∛2
8. √(9 * 7) = 3√7
9. ∛(27 * 3) = 3∛3
10. √169 = 13
11. ^3√-729 = -9
12. ^3√-8 = -2
13. ∛135 ≈ 5.244
14. Circumference = π * diameter = 3.14 * 4.5 ≈ 14.13 miles
15. ^3√189 = ^3√(27 * 7) = 3√7