Chapter 4: Roots and Powers



Chapter 4: Roots and Powers

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MATH LAB-4.1

Estimating Roots

Question 1: Find the estimated value of [pic] within 1 decimal place of 20.

1) Write two consecutive perfect squares closest to 20. _________ ___________

Square roots : __________________ ___________________

2) Fill in the table until the estimate of the square is within 1 decimal place of 20.

|Estimated [pic] |Value of its square |

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[pic] = _____________ 3) Justify your answer. ______________________

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Question 2: Find the estimated value of [pic] within 1 decimal place of 20.

1) Write two consecutive perfect cubes closest to 20. (Hint: Check your reference list). ______________ ___________________

cube roots: ____________ _________________

2) Fill in the table until the estimate of the cube root is within 1 decimal place of 20.

|Estimated [pic] |Value of its cube |

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[pic] = ______________ 3) Justify your answer. _______________________

Question 3: Find the estimated fourth root of 20 within 1 decimal place of 20.

1) Write two consecutive perfect fourth powers closest to 20. ________ _______

Fourth Roots: ________________ _________________

2) Fill in the table until the estimate of the fourth root is within 1 decimal place of 20.

|Estimated [pic] |Fourth power |

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[pic] = ________________ 3) Justify your answer. ________________________

Question 5: Complete this table…

|Radical |Value (4 decimals) |Is the Value Exact or Approximate? |

|[pic] |4 |Exact |

|[pic] |5.1962 |Approximate |

|[pic] | or 0. |Exact |

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