Find the square root of 45
The square root of 45 is approximately 6.708203932499369.
To find the square root of 45, you can use either a calculator or a manual method.
If you are using a calculator:
1. Enter "45" into your calculator
2. Press the square root (√) button
3. The calculator will display the square root of 45, which is approximately 6.7082.
If you want to find the square root manually:
1. Start by finding prime factors of 45: 3 and 5.
2. Group the factors into pairs, with each pair containing identical factors. In this case, there is one pair of 3.
3. Take one factor from the pairs and multiply them together. In this case, just take the 3 and leave the 5 alone.
4. The product is the square root of the number. In this case, the square root of 45 is 3√5.
So there are two possible answers:
- Approximately 6.7082 (using a calculator)
- 3√5 (for the manual method)
To find the square root of 45:
1. Start by guessing a number that, when squared, is close to 45. Let's try 6.
- 6 squared is 36 (6 * 6 = 36).
2. Since 36 is less than 45, we know that the square root of 45 is slightly more than 6.
3. Next, let's refine our guess by averaging it with the number 45 divided by our initial guess (6).
- (6 + 45/6) / 2 = (6 + 7.5) / 2 = 13.5 / 2 = 6.75.
4. Now, we need to square our refined guess of 6.75 to see if it's close to 45.
- 6.75 squared is 45.5625.
5. Since 45.5625 is close to 45, we can say that the square root of 45 is approximately 6.75.