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1
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2
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- Isolate the radical
- Square both sides of the equation
- (or raise to appropriate power)
- Solve for the variable
- Check all solutions. If the
answer(s) does not work, the equation may not have a real number
solution.
- Note: You can also use the
properties of
- radicals to solve
equations
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3
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- Example 1:
- use properties of radicals
- isolate the variable
-
distributive property
- rationalize the denominator
- the conjugate of
is
- when the two binomials in the
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denominator are multiplied out,
- the two center terms cancel each other
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4
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5
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6
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- Example 3:
- isolate the radical
- square both sides
- solve for the variable
- Check the solution in the original equation:
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7
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- Example 4:
- isolate one of the
radicals
- square both sides
- isolate the
radical
- square both sides
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8
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9
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10
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11
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