|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.
Find the square root of 9x2 + 12x + 4, using special product.
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
Ö(3x+2)2 = 3x + 2.
Directions: Solve the following problems. Also write at least 10 examples of your own.