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Single Radical Single Radical Worksheets - Download free PDFs

Radical Equations

Single Radical

1. \sqrt{4x^{2}+2}=2x+1

1. \sqrt{4x^{2}+2}=2x+1

2. \sqrt{2x^{2}-9}=x

2. \sqrt{2x^{2}-9}=x

3. \sqrt{7x^{2}-14}=10-x

3. \sqrt{7x^{2}-14}=10-x

4. \sqrt{19x^{2}-4}=x

4. \sqrt{19x^{2}-4}=x

5. \sqrt{x^{2}-4x+8}+x=2-x

5. \sqrt{x^{2}-4x+8}+x=2-x

6. 5-2x=\sqrt{2x^{2}+x-1}-x

6. 5-2x=\sqrt{2x^{2}+x-1}-x

7. 6y-\sqrt{2y^{2}-1}=7y-2

7. 6y-\sqrt{2y^{2}-1}=7y-2

8. z+2=\sqrt{2z^{2}+3z+7}-3

8. z+2=\sqrt{2z^{2}+3z+7}-3

9. \sqrt{w^{2}-w+3}-1=2w

9. \sqrt{w^{2}-w+3}-1=2w

10. x=3+\sqrt{x^{2}-9}

10. x=3+\sqrt{x^{2}-9}

Answers

Radical Equations

Single Radical

1. x=\frac{1}{4}

2. x=3

3. x=-\frac{19}{3},x=3

4. x=\frac{\sqrt{2}}{3}

5. x=-\frac{2}{3}

6. x=-13,x=2

7. y=-5,y=1

8. z=-2,z=9

9. w=\frac{1}{3}

10. x=3