Radicals (16 Problems)
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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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