Question

Which of the following lists is in order from least to greatest?

-2, 4, 3^2, √5
-2, 3^2, 4, √5
-2, √5 , 4, 3^2
√5, 4, 3^2, -2

Answer 1

To determine which list is in order from least to greatest, we first need to calculate the values of the expressions involved:

1. **-2** is simply **-2**.
2. **3^2** equals **9**.
3. **√5** (the square root of 5) is approximately **2.236**.

Now we can compare these values:

- -2
- √5 ≈ 2.236
- 4
- 3^2 = 9

Now we can list these values in order from least to greatest:

1. **-2**
2. **√5** (approximately 2.236)
3. **4**
4. **3^2** (which is 9)

So the order from least to greatest is: -2, √5, 4, 3^2.

Now, let's look at the lists provided:

1. **-2, 4, 3^2, √5** - Incorrect
2. **-2, 3^2, 4, √5** - Incorrect
3. **-2, √5, 4, 3^2** - Correct
4. **√5, 4, 3^2, -2** - Incorrect

The correct order from least to greatest is given by the third list: **-2, √5, 4, 3^2**.