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Simplify: [tex][tex]$\sqrt[4]{162}$[/tex][/tex]

Sagot :

To find the fourth root of 162, let's break down the steps:

1. Understanding the Problem:
Taking the fourth root of a number means identifying a value that, when raised to the power of 4, equals that number.

2. Expressing Mathematically:
The fourth root of 162 can be expressed as:
[tex]\[ \sqrt[4]{162} \][/tex]
This expression is equivalent to:
[tex]\[ 162^{\frac{1}{4}} \][/tex]

3. Calculating:
To find [tex]\( 162^{\frac{1}{4}} \)[/tex], we need to determine the number which, when raised to the power of 4, equals 162.

4. Result:
After evaluating, the fourth root of 162 is approximately:
[tex]\[ \sqrt[4]{162} \approx 3.5676213450081633 \][/tex]

So, the final result of [tex]\(\sqrt[4]{162}\)[/tex] is approximately [tex]\(3.5676213450081633\)[/tex].
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