To simplify: the given expression.
Consider the given expression.
The expression can be simplified as shown:
Here, we have th roots, in this case, because they are square roots, .
Let’s start by using the first property of th roots, which states
Rewrite the first term using this.
This simplifies to
Now, we can use the definition of the th roots, which is
And rewrite the second term. The first term can just be left as a square root for now.
The third law of exponents, which states
Allows us to multiply the exponents of the second term.
The first law of exponents, which states
Helps us split up the second term .
Factor the square root.
The simplified expression is .
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