How do we Divide Algebraic Radicals ?

Question: How do we Divide Algebraic Radicals ?

Dividing Algebraic radicals are similar to Greatest Common Factor(multi-variables) that was presented last week, but dividing Algebraic radicals are a little bit easier.

An example of Dividing Algebraic radicals is, the equation below:

50x6y6−−−−−−√10x4y3−−−−−−√

There are a few steps that you need to know in order to solve the following question and questions similar it:

Step 1:  divide the coefficients of 50 and 10, then divide the variables by subtracting their exponents as shown below:

5x2y3−−−−−√

5x2y3−−−−−√

x2y3−−−−−√

5x2y3−−−−−√

5x2
3−−−−−√

−−−−−√

5x2y3−−−−−√

Step 2:  Factor out the perfect squares that are in the equation. 

**Note: In some equations the entire new radical will already be a perfect square making your job easier.

x2y2−−−−√5y−−√

Step 3: Square root the perfect squares or the radical in the front. Leaving behind the un-perfect squares.

xy5y−−√

Now try it Yourself: 

162x10y10−−−−−−−−√6x−−√

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