To simplify:The given redical: An expression: root(4)(x^2-4)^4. Use absolute value bars when necessary.

To simplify:
The given redical:
An expression: $\sqrt[4]{{\left({x}^{2}-4\right)}^{4}}.$
Use absolute value bars when necessary.

You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

okomgcae
Calculation:
$\sqrt[4]{{\left({x}^{2}-4\right)}^{4}}$

$⇒{\left({x}^{2}-4\right)}^{1}$
$⇒{x}^{2}-4$
Since a negative number raised to even power is always positive, so the solution of the given expression would be positive for any value of x.
So, we need to take absolute value of to make the solution thue for all values of x.
Therefore, the simplified form of the given expression would be $|{x}^{2}-4|.$