The square root of 6250000 is :

Options

A. 1308
B. 2903
C. 2500
D. none of these

Answer

To find the square root of 6250000, we can break it down into its prime factors and simplify. Here’s a step-by-step solution:

### Step 1: Factor the number
We can start by expressing 6250000 in a more manageable form. Notice that:
\[ 6250000 = 625 \times 10000 \]

### Step 2: Find the square roots of the factors
Now, we can find the square roots of each of these factors separately.

1. **Square root of 625**:
\[ \sqrt{625} = 25 \]
(since \( 25 \times 25 = 625 \))

2. **Square root of 10000**:
\[ \sqrt{10000} = 100 \]
(since \( 100 \times 100 = 10000 \))

### Step 3: Combine the results
Now, we can combine the results from the square roots of the factors:
\[ \sqrt{6250000} = \sqrt{625 \times 10000} = \sqrt{625} \times \sqrt{10000} \]
\[ = 25 \times 100 \]

### Step 4: Calculate the final result
Now, we multiply the two results together:
\[ 25 \times 100 = 2500 \]

### Final Answer
Thus, the square root of 6250000 is:
\[ \sqrt{6250000} = 2500 \]

---