2 answers:
<h2>
Hello!</h2>
The answer is:
The second option: 2
![\sqrt[4]{81}=3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%3D3)
<h2>
Why?</h2>
We can solve the problem and find the simplified expression using the following root property:
![\sqrt[n]{x^{m} }=x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%20%7D%3Dx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
We are given the expression:
![\sqrt[4]{81}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D)
Which can be rewrite like this:
![\sqrt[4]{81}=\sqrt[4]{3^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%3D%5Csqrt%5B4%5D%7B3%5E%7B4%7D%7D)
Now, simplifying we have:
![\sqrt[4]{3^{4}}=3^{\frac{4}{4} }=3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B3%5E%7B4%7D%7D%3D3%5E%7B%5Cfrac%7B4%7D%7B4%7D%20%7D%3D3)
Hence, the answer is the second option:
![\sqrt[4]{81}=3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%3D3)
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
<u>To find the correct option
</u>
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
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