Tazmin Horton

2020-11-08

To simplify:

The given redical:

An expression:

Use absolute value bars when necessary.

okomgcae

Skilled2020-11-09Added 93 answers

Calculation:

Let simplify given radicals:

$\sqrt[4]{{({x}^{2}-4)}^{4}}$

$\Rightarrow {({x}^{2}-4)}^{\frac{4}{4}}\text{}\text{(Applying rule}{\displaystyle \sqrt[n]{{a}^{m}}={a}^{\frac{m}{n}})}$

$\Rightarrow {({x}^{2}-4)}^{1}$

$\Rightarrow {x}^{2}-4$

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${x}^{2}\text{}-\text{}4,$ to make the solution thue for all values of x.

Therefore, the simplified form of the given expression would be$|{x}^{2}-4|.$

Let simplify given radicals:

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

Therefore, the simplified form of the given expression would be