# Simplify #11xxsqrt((49a^5)/(4a^3)#?

##### 2 Answers

Solution 2 of 2

Rather than use shortcuts I have given a lot of detail. This is so that you can see where some of the shortcuts come from.

Simplification is

#### Explanation:

You are looking for squared values/variables that can be 'taken outside' the square root.

Demonstrating a property by example:

Suppose we had

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given:

Write as :

Write as:

You can cancel some out at this stage. I will do it later.

'Extracting from the root' we have:

This is the same as:

But

Now we deal with the 11:

Solution 1 of 2: using shortcuts

Jumping steps in my head using the principles shown in solution 2 of 2

#### Explanation:

Given: