Question

warm up: radicals and fractional exponents
zaria howard
radicals and rational exponents
mr. harlin
exponent.
a) \\(\sqrt3{x^4}\\) b) \\(\sqrt\boldsymbol{n}{a^8}\\) c) \\(\sqrt9{b}\\)
\\(x^{\frac{4}{3}}\\)
multiple-choice question
what is the value of the index of example b?
n
2
3
rewatch skip submit

Explanation:

For a radical of the form $\sqrt[n]{x^m}$, the index is the value of $n$ (the root). In example b, the radical is $\sqrt[3]{a^8}$ (assuming the index is 3, as the notation for the radical shows a small 3 at the top left of the square root symbol, which is the index). Wait, looking at the image, example b is $\sqrt[3]{a^8}$? Wait, no, the user's image: example b is $\sqrt[3]{a^8}$? Wait, the index of a radical $\sqrt[n]{x}$ is $n$. So in example b, the radical is $\sqrt[3]{a^8}$? Wait, the options are n, 2, 3. Wait, no, maybe the radical in example b is $\sqrt[3]{a^8}$? Wait, the index is the number outside the radical, the small number. So if the radical is $\sqrt[3]{a^8}$, the index is 3. Wait, but the options: one of them is 3. Wait, let's check. The question is "What is the value of the index of example b?" The radical in example b: looking at the image, it's $\sqrt[3]{a^8}$ (the small number at the top left of the square root is 3). So the index is 3.

Answer:

3 (assuming the options include 3 as a choice; from the given options, the correct one is the option with 3, e.g., if the options are like A. n, B. 2, C. 3, then C. 3)