The square root of `0.3+0.21+0.49` is

Options

A. `sqrt(0.09)+sqrt(0.49)`
B. `2sqrt(0.21)`
C. 1
D. 0.58

Answer

To find the square root of the expression \(0.3 + 0.21 + 0.49\), we will follow these steps:

### Step 1: Add the numbers inside the square root
We start by calculating the sum of \(0.3\), \(0.21\), and \(0.49\).

\[ 0.3 + 0.21 + 0.49 \]

### Step 2: Align the decimal points for addition
To make the addition easier, we can align the decimal points:

```
0.30
+ 0.21
+ 0.49
-------
```

### Step 3: Perform the addition
Now, we add the numbers column by column:

- In the hundredths place: \(0 + 1 + 9 = 10\) (write down 0 and carry over 1)
- In the tenths place: \(3 + 2 + 4 + 1 (carry) = 10\) (write down 0 and carry over 1)
- In the units place: \(0 + 0 + 0 + 1 (carry) = 1\)

So, the sum is:

\[ 0.3 + 0.21 + 0.49 = 1.0 \]

### Step 4: Find the square root of the sum
Now we need to find the square root of \(1.0\):

\[ \sqrt{1.0} \]

### Step 5: Calculate the square root
The square root of \(1\) is:

\[ \sqrt{1} = 1 \]

### Final Answer
Thus, the square root of \(0.3 + 0.21 + 0.49\) is:

\[ \boxed{1} \]

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