Tazmin Horton

2020-11-08

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

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 $|{x}^{2}-4|.$

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