What is the best estimate of the value of 3

√8

6√2 or 8.48 (considering you are trying to round to the nearest hundredth)

Step-by-step explanation:

Since 8 is composed of 4 * 2, you can rewrite this as "3√4 * 2"

4 is a perfect square because the square root of 4 is 2. After finding the square root of 4, which is 2, move the two outside the square root sign.

The equation is now 3 * 2√2. (The other 2 inside the square root sign does not get moved because 2 is not a square root and the square root of 2 is not a rational number. Think of it like 1/3, the answer to that is 0.3333333 ...)

3 * 2 = 6

So your answer is 6√2

If you want to directly multiply the square root of 8 to 3, you would need to plug it in to your calculator.