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### High School Mathematics6.12 Method of Finding Square Roots - Inspection Method

 Three methods to find square roots of algebraic expressions which are not monomials are: Inspection Method (Using special products). Division Method. Method of undetermined coefficients. Inspection Method. Example: Find the square root of 9x2 + 12x + 4, using special product. Solution: Given that, 9x2 + 12x + 4, We can write this as, (3x)2 + 2.3x.2 + 22. This is in the form of (a + b)2 = a2 + 2ab + b2. Therefore, (3x + 2)2 �(3x+2)2 = 3x + 2. Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: Find the square root of 4x4 + y4 + 9z4 + 4x2y2 - 6y2z2 - 12x2z2.2x + y + -3z2x2 + y + 3x22x2 + y2 - 3z2 Q 2: Find the square root of x2 + 9y2 + 4z2 - 6xy + -12yz + 4xz.x + 3y - 2xx - 3y + 2zx + 3y + 2z Q 3: Find the square root of 9x2 + 24xy + 16y2.3x + 2y2x + 3y3x + 4y Q 4: Find the square root of 9x4 + 6x2y2 + y4.3x2 + 2y23x + y3x2 + y2 Q 5: Find the square root of x4 + y4 + 9z4 - 2x2y2 - 6x2z2 + 6y2z2.x2 + y2 + 3z2x2 - y2 + 3z2x2 - y2 - 3z2 Q 6: Find the square root of 16x2 - 8xy + y2.4x2 - y4x - y24x - y Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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