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Algebra I Exercises: Square Roots


Question Group #1
Directions and/or Common Information: Find the square root of each number. Round to the nearest hundredth.


√(9)
1. 





-√(25)
2. 





±√(196)
3. 





√(43)
4. 





-√(59)
5. 





√(49)
6. 





±√(197)
7. 





√(81)
8. 




Question Group #2
Directions and/or Common Information: Solve the equation √(b2 - 4ac)  with the given variables. Give your answer in radical and decimal form.


a = 3       b = 3        c = 1
1. 





a = 1       b = -4       c = -6
2. 





a = -5      b = 1        c = 4
3. 





a = 4       b = -5       c = 8
4. 





a = 7       b = 3        c = -3
5. 





a = 0       b = -4       c = -3
6. 





a = 3       b = -3       c = -9
7. 





a = 9       b = 9        c = 9
8. 




Question Group #3
Directions and/or Common Information: Round your answer to the nearest hundredth.


1 ± √(2)
1. 





1 ± 3√(4)
2. 





2 ± 6√(5)
3. 





2[1 ± √(4)]
4. 





5. 





6. 




Question Group #4
Directions and/or Common Information: a and b are the lengths of two sides to a right triangle. Find the length of the third side. If the answer is not a whole number leave in radical form.


a = 2        b = 3
1. 





a = 4        b = 2
2. 





a = 1        b = 1
3. 





a = 6        b = 1
4. 





a = 6        b = 8
5. 




Question Group #5
Directions and/or Common Information: a, b, and c are the lengths of the sides of a triangle. Use the Pythagorean Theorem to determine if they are right triangles.


a = 1    b = 1   c = 2
1. 





a = 1   b = 3   c = 2 
2. 





a = 5   b = 12   c = 13
3. 





A right triangle.
4. 








B Horn

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