Find the square root of 1485961

Options

A. 1213
B. 1219
C. 1229
D. 1239

Answer

To find the square root of 14,851,961, we can follow these steps:

### Step-by-Step Solution:

1. **Write down the number**: Start with the number for which we need to find the square root.
\[ 14,851,961 \]

2. **Estimate the square root**: We can estimate the square root by finding the nearest perfect squares. The square root of 14,851,961 is likely to be around 1200 since \(1200^2 = 1,440,000\) and \(1300^2 = 1,690,000\).

3. **Factor the number**: Next, we can factor the number to find its square root. We can use a calculator or perform prime factorization. In this case, we find that:
\[ 14,851,961 = 1219 \times 1219 \]

4. **Taking the square root**: Since we have factored the number into two identical factors, we can take the square root:
\[ \sqrt{14,851,961} = \sqrt{1219 \times 1219} = 1219 \]

5. **Conclusion**: Therefore, the square root of 14,851,961 is:
\[ \boxed{1219} \]