Simplified Form for Radicals

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For each of the following questions, do NOT assume all variables are nonnegative real numbers.

1. Simplify sqrt(50)


 2*sqrt(5)
  5*sqrt(2)
  Already in simplified form.


2. Simplify sqrt(98)

  2*sqrt(7)
  7*sqrt(2)
  Already in simplified form.


3. Simplify sqrt(8)

  4*sqrt(2)
  2*sqrt(2)
  Already in simplified form.


4. Simplify sqrt(40x^8)

 q6_3_3.gif (957 bytes)
 2x^4*sqrt(10)
 Already in simplified form.



5. Simplify sqrt(64x^3y^7)

 8 absolute value(xy^3) * sqrt(xy)
 8*xy^4 * sqrt(xy)
 Already in simplified form.


6. Simplify sqrt(x^2+10x+25)


 | x + 5 |

  x + 5
  Already in simplified form


7. Simplify  cube root of -3


 |3|

  3

 -3


8. Simplify cube root of (x^3y^9z^10)


 xy^3z^3 * cube root (z)
  q6_3_10.gif (987 bytes)
  Already in simplified form.


9. Substitute a = 2, b = 12 and c = 3 into the formula sqrt(b^2 - 4ac)

  sqrt(120)
  12 - sqrt(24)
 2 * sqrt(30)


10. Substitute a = 1, b = 3 and c = 2 into the formula sqrt(b^2 - 4ac)

  1

  2

  3



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Copyright © 2001 Donna Tupper.