Respuesta :

Hello!

The answer is:

The second option: 2

[tex]\sqrt[4]{81}=3[/tex]

Why?

We can solve the problem and find the simplified expression using the following root property:

[tex]\sqrt[n]{x^{m} }=x^{\frac{m}{n} }[/tex]

We are given the expression:

[tex]\sqrt[4]{81}[/tex]

Which can be rewrite like this:

[tex]\sqrt[4]{81}=\sqrt[4]{3^{4}}[/tex]

Now, simplifying we have:

[tex]\sqrt[4]{3^{4}}=3^{\frac{4}{4} }=3[/tex]

Hence, the answer is the second option:

[tex]\sqrt[4]{81}=3[/tex]

Have a nice day!

Answer:

The correct answer is second option

3

Step-by-step explanation:

From the attached question we can see that,

⁴√81

To find the correct option

We know that 3⁴ = 81

⁴√81 can be written as,

⁴√81 = ⁴√(3 * 3 * 3 * 3)      

 = ⁴√(3)⁴

 = 3

Therefore the answer is 3

The correct option is  second option.  3