What is the square root of 3969?
Understand the Problem
The question is asking for the square root of 3969, which involves finding a number that, when multiplied by itself, results in 3969.
Answer
The square root of 3969 is $63$.
Answer for screen readers
The square root of 3969 is $63$.
Steps to Solve
- Set up the equation
To find the square root of 3969, we want to find a number $x$ such that:
$$ x^2 = 3969 $$
- Estimate the square root
To solve for $x$, we can first estimate by finding the perfect squares around 3969. Noticing that $60^2 = 3600$ and $70^2 = 4900$, we can narrow it down to check numbers between 60 and 70.
- Check for perfect squares
Now, we can check our estimates by squaring the integers between 60 and 70.
- Calculate $62^2$:
$$ 62^2 = 3844 $$
- Calculate $63^2$:
$$ 63^2 = 3969 $$
At this point, we've found that:
$$ 63^2 = 3969 $$
- Conclusion
Thus, the square root of 3969 is $x = 63$.
The square root of 3969 is $63$.
More Information
Finding the square root involves determining what number, when multiplied by itself, gives the original number. The process includes estimating and checking perfect squares, as seen here.
Tips
- A common mistake is to miscalculate the squares of numbers. Always double-check calculations, especially for numbers close to your estimates.