# Irrational Equations Module A

Source: algebrica.org - CC BY-NC 4.0
https://algebrica.org/exercises/irrational-equations-module-a/
Fetched from algebrica.org test 7186; source modified 2025-03-15T16:38:16.

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\\[
\\text{A1. } \\quad \\sqrt{x^2 -2x +1} = \\sqrt{3}
\\]

 [solution](../irrational-equation-a-1.md)

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\\[
\\text{A2. } \\quad \\sqrt{2x -x^2} = x -2
\\]

 [solution](../irrational-equation-a-2.md)

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\\[
\\text{A3. } \\quad \\sqrt{4 -x} = 3- \\sqrt{5 +x}
\\]

[solution](../irrational-equation-a-3.md)

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\\[
\\text{A4. } \\quad \\sqrt{3x^2 -8x} = -5
\\]

[solution](../irrational-equation-a-4.md)

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\\[
\\text{A5. } \\quad \\sqrt\[3\]{2x^2 +x -3} = \\sqrt\[3\]{3}
\\]

 [solution](../irrational-equation-a-5.md)

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\\[
\\text{A6. } \\quad \\sqrt{x+3} = 1 + \\sqrt{2-x}
\\]

[solution](../irrational-equation-a-6.md)

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\\[
\\text{A7. } \\quad \\sqrt\[5\]{4x-6} = 2
\\]

 [solution](https://algebrica.org/irrational-equation-a-7/)

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\\[
\\text{A8. } \\quad \\sqrt{x+100} -x = -10
\\]

 [solution](https://algebrica.org/irrational-equation-a-8/)