Question

What is this simplified?

Answer 1

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

Answer 2

Hello!

The answer is:

The second option: 2

`\sqrt[4]{81}=3`

Why?

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

`\sqrt[n]{x^(m) }=x^{(m)/(n) }`

We are given the expression:

`\sqrt[4]{81}`

Which can be rewrite like this:

`\sqrt[4]{81}=\sqrt[4]{3^(4)}`

Now, simplifying we have:

`\sqrt[4]{3^(4)}=3^{(4)/(4) }=3`

Hence, the answer is the second option:

`\sqrt[4]{81}=3`

Have a nice day!