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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
6.12 Method of Finding Square Roots - Inspection Method

Three methods to find square roots of algebraic expressions which are not monomials are:
  1. Inspection Method (Using special products).
  2. Division Method.
  3. 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 16x2 - 8xy + y2.
4x - y2
4x - y
4x2 - y

Q 2: Find the square root of x2 + 4y2 + 9z2 + 4xy + 6xz + 12yz.
x + 2y + 3z
None of these
x - 2y + 3z
x +2y - 3z

Q 3: Find the square root of 4x4 + y4 + 9z4 + 4x2y2 - 6y2z2 - 12x2z2.
2x + y + -3z
2x2 + y2 - 3z2
2x2 + y + 3x2

Q 4: Find the square root of 25x4 - 20x2y2 + 4y4.
5x2 - 2y2
5x - 2y
5x2 - 2y
5x - 2y2

Q 5: Find the square root of x2 + 9y2 + 4z2 - 6xy + -12yz + 4xz.
x - 3y + 2z
x + 3y - 2x
x + 3y + 2z

Q 6: Find the square root of 9x2 + 24xy + 16y2.
3x + 2y
3x + 4y
2x + 3y

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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