## How do you rationalize the numerator of a function?

To rationalize the numerator, multiply numerator and denominator by a radical that will get rid of the radical in the numerator. A Conjugate is formed when the sign in between the two terms of a binomial is changed to the opposite sign.

What are the steps for simplifying radicals?

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

How to rationalize the numerator in calculus?

To rationalize the numerator, you multiply the both numerator and the denominator by the conju-gate of the numerator. Example: Find the conjugate of: 1. p a+ p b 2. 5 + p y 3. p x 2 Warm-up Problem 1: Rationalize the numerator for p x 2 x 4 Tip: When simplifying by rationalizing the numerator, it is best to leave the denominator in

### How to rationalize a denominator?

4 2+2 {\\displaystyle {\\frac {4} {2+{\\sqrt {2}}}}}

• To see why this is the case,write an arbitrary fraction 1 a+b,{\\displaystyle {\\frac {1} {a+b}},} where a {\\displaystyle a} and b {\\displaystyle b} are irrational.
• Let’s see how this works with our example.
• What does it mean to rationalize numerator?

We rationalize numerator (vs. denominator) since it removes an apparent singularity at h=0. As a→0, the latter yields the root x=−b/c of bx+c (=ax2+bx+c when a=0). As a→0, the latter yields the root x=−b/c of bx+c (=ax2+bx+c when a=0).

How to rationalize denominators?

To rationalize the denominator,we have to multiply both the numerator and the denominator by the conjugate of the denominator.

• Perform the multiplication by distributing to both the numerator and denominator.
• Combine like terms.