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Radicals (16 Problems)

Solve the formula for the indicated variable.

1. I = E __ for R
R + r

Find the root. All variables represent nonnegative real numbers.

2. √m6

Use the product rule for radicals to simplify the expression. All variables represent nonnegative real numbers.

3. 3√5b9

Simplify each radical.

4. √ 9
44

Use the product and quotient rules to simplify.

5. √27
16

Simplify each expression. Write the answers with positive exponents.

6. -25-3/2

7. (-27x9)1/3

8. √2t5 * √10t4

9. (3 - 2√7)(3 = 2√7)

10. Area of a triangle. Find the exact area of a triangle with a base of √30 meters
and a height of √6 meters.
Simplify.

11. √6 * √14
√7 √3

12. 4 - √28
6

Find all real solutions to the equation.

13. x2 = 36

Solve the equation.

14. 3x2 - 5 = 16

Find the indicated sums and differences of complex numbers.

15. (-1 + 6i) + (5 - 4i)

Write each expression in the form a + bi, where a and b are real numbers.

16. (3 - 5i) - (2 - 7i)

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Solution Summary

Radicals are investigated.

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