Extend 10-3: Algebra Lab Simplifying nth Root Expressions
Simplify each expression.
1. 5. SOLUTION: SOLUTION: 2. SOLUTION: 6. SOLUTION: 3. SOLUTION: 7. SOLUTION: 4. SOLUTION: 8. SOLUTION: 5. eSolutions Manual - Powered by Cognero
SOLUTION: Page 1
9. SOLUTION: Extend 10-3: Algebra Lab Simplifying nth Root Expressions
9. 12. SOLUTION: SOLUTION: 10. SOLUTION: 13. Provide an example in which two radical expressions
with unlike radicands can be combined by addition.
11. SOLUTION: SOLUTION: We need to find two radicands that can be reduced
to the same radicand. Pick a basic non-perfect cube,
like 3. Next, choose two different perfect cubes to
multiply by 3. The two smallest ones (not including 1)
are 8 and 27.
3 × 8 = 24
3 × 27 = 81
Use 24 and 81 as the radicands of cube roots. Then
simplify.
Sample answer:
14. Provide an example in which two radical expressions
with identical indices and with like variables in the
radicand cannot be combined.
12. SOLUTION: SOLUTION: In order to combine two radical expressions with
addition, the radicands and the indices both need to
be identical. In order to create an expression in
which two radical expressions have identical indices
and like variables, but cannot be combined by
addition, simply alter one of the radicands while
keeping the same variable.
Sample answer:
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13. Provide an example in which two radical expressions
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