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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
6.15 Problems on Square Root - I

Example:
Find the square root of (x2 + 7x + 12)(x2 + 10x + 24)(x2 + 9x + 18).
Solution:
Take the factors,
x2 + 7x + 12 = x2 + 4x + 3x + 12
= x(x + 4) + 3(x + 4)
= (x + 3)(x + 4)
x2 + 10x + 24 = x2 + 4x + 6x + 24
= x(x + 4) + 6(x + 4)
= (x + 4)(x + 6)
x2 + 9x + 18 = x2 + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 3)(x + 6)
Therefore, (x2 + 7x + 12)(x2 + 10x + 24)(x2 + 9x + 18) = (x + 3)(x + 4)(x + 4)(x + 6)(x + 3)(x + 6)
= (x + 3)2 (x + 4)2 (x + 6)2
The square root is (x + 3)(x + 4)(x + 6)
Directions: Solve the following problems using above method. Also write at least 5 examples of your own.
Q 1: Find the square root of
(x2 - 4x + 3)(x2 - 12x + 27)(x2 - 10x + 9).
(x - 9)(x - 3)(x + 1)
(x + 9)(x - 3)(x - 1)
(x - 9)(x - 3)(x - 1)
(x - 9)(x + 3)(x - 1)

Q 2: Find the square root of
(x2 - x - 72)(x2 + x - 56)(x2 - 16x + 63).
(x - 9)(x +7)(x + 8)
(x + 9)(x -7)(x + 8)
(x - 9)(x -7)(x + 8)
(x - 9)(x -7)(x - 8)

Q 3: Find the square root of
(x2 + x - 12)(x2 - x - 20)(x2 - 8x + 15).
(x - 5)(x - 3)(x - 4)
(x - 5)(x - 3)(x + 4)
(x - 5)(x + 3)(x + 4)
(x + 5)(x - 3)(x + 4)

Q 4: Find the square root of
(12x2 + 23x + 10)(15x2 + 13x + 2)(20x2 + 29x + 5).
(4x + 5)(3x + 2)(5x + 2)
(4x + 5)(3x + 4)(5x + 1)
(4x + 3)(3x + 2)(5x + 1)
(4x + 5)(3x + 2)(5x + 1)

Q 5: Find the square root of
(x2 - 2x - 15)(x2 - 5x - 24)(x2 - 13x + 40).
(x + 8)(x - 5)(x + 3)
(x - 8)(x - 5)(x - 3)
(x - 8)(x + 5)(x + 3)
(x - 8)(x - 5)(x + 3)

Q 6: Find the square root of
(x2 + 10x + 16)(x2 + 11x + 24)(x2 + 5x + 6).
(x + 2)(x - 8)(x + 3)
(x + 2)(x + 8)(x - 3)
(x + 2)(x + 8)(x + 3)
(x - 2)(x + 8)(x + 3)

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Question 8: This question is available to subscribers only!


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