# polynomials denominators

# Multiplifying polynomials

Recall that in general (a+b)^{2} ≠ a^{2}+b^{2}

**Example 0.1 **let a = 3 and b = 4

Using the distributive property and the FOIL property we
can multiply rad -

ical expressions in the same way we multiplied polynomials.

**Example 0.2**

**Example 0.3**

**Example 0.4**

**Example 0.5**

We do not want to leave roots in the denominator of a
fraction. When we

encounter a single root in the denominator just multiply the top and bottom

of the fraction by a value that will create an integer in the denominator.

**Example 0.6**

**Example 0.7**

**Example 0.8
**

**Definition 0.1** The conjugate of a + b is a - b.

When the denominator contain two terms , we rationalize the denominator

by multiplying the top and bottom of the fraction by the conjugate of de-

nominator.

**Example 0.9
**

**Example 0.10
**

**Example 0.11
**

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