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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