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Nested Radicals Nested Radicals Worksheets

Radical Equations

Nested Radicals

1. \sqrt{2\sqrt{7x+2}}=\sqrt{4x+2}

1. \sqrt{2\sqrt{7x+2}}=\sqrt{4x+2}

2. \sqrt{\sqrt{x+36}}=\sqrt{x+6}

2. \sqrt{\sqrt{x+36}}=\sqrt{x+6}

3. \sqrt{2\sqrt{7x+8}}=\sqrt{2x+4}

3. \sqrt{2\sqrt{7x+8}}=\sqrt{2x+4}

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

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

5. \sqrt{1+4\sqrt{x}}=\sqrt{x}+1

5. \sqrt{1+4\sqrt{x}}=\sqrt{x}+1

6. \sqrt{\sqrt{x+9}}=\sqrt{x+3}

6. \sqrt{\sqrt{x+9}}=\sqrt{x+3}

7. \sqrt{2\sqrt{5x+5}}=\sqrt{2x+2}

7. \sqrt{2\sqrt{5x+5}}=\sqrt{2x+2}

8. \sqrt{2\sqrt{x+2}}=\sqrt{x+2}

8. \sqrt{2\sqrt{x+2}}=\sqrt{x+2}

9. \sqrt{8+2\sqrt{x}}=\sqrt{x}

9. \sqrt{8+2\sqrt{x}}=\sqrt{x}

10. \sqrt{2\sqrt{2x+3}}=\sqrt{x+3}

10. \sqrt{2\sqrt{2x+3}}=\sqrt{x+3}

Answers

Radical Equations

Nested Radicals

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

2. x=0

3. x=4,x=-1

4. x=2,x=-1

5. x=4,x=0

6. x=0

7. x=4,x=-1

8. x=2,x=-2

9. x=16

10. x=3,x=-1