Rational Exponents Quick Check

Question

5 of 55 of 5 Items
Question
How can you rewrite 812 using a root?(1 point)
Responses

12−−√8
root index 8 Start Root Start Fraction 1 over 2 End Fraction End Root

8–√1
root index 1 Start Root 8 End Root

8–√
Start Root 8 End Root

8–√12

Answer 1

To rewrite $812$ using a root, you can express $812$ in terms of a fractional exponent.

The correct interpretation is:

$$812=8^{\frac{1}{2}}$$

This means $812$ can be written as the square root of $8$.

Thus, the correct response from the options you're given would be:

$$\sqrt{8}$$ which corresponds to $8^{\frac{1}{2}}$.

Since no exact match is presented in the responses, the intended correct interpretation of rewriting $8^{12}$ as $\sqrt{8}$ can be inferred.

If you meant to convey something else, please let me know!