The fourth root of 162 in simplified radical form can be expressed as:

$\sqrt[4]{162}$

We start by factoring 162:

$162 = 2 \times 81 = 2 \times 3^4$

Now, rewrite the expression using the factors:

[ \sqrt[4]{162} = \sqrt[4]{2 \times 3^4} ]

Since $\sqrt[4]{3^4} = 3$, we can simplify the radical expression:

[ \sqrt[4]{162} = 3\sqrt[4]{2} ]

Thus, the simplified form of the fourth root of 162 is:

$3\sqrt[4]{2}$

Would you like any further details or have any questions?

Here are 5 related questions:

1. How do you simplify higher-order roots in general?
2. What is the cube root of 162 in simplified form?
3. Can the fourth root of 162 be approximated as a decimal?
4. How would you simplify $\sqrt[3]{54}$?
5. How can we express the sixth root of 243 in simplified radical form?

Tip: When simplifying roots, always look for the largest perfect power factor to simplify efficiently.