Find the square root of 100: √100
1. 50
2. 10, -10
3. 10
4. -10
3. 10
To find the square root of 100 (√100), we need to determine which number, when multiplied by itself, equals 100.
The answer is option 3: 10.
Since 10 multiplied by itself equals 100 (10 * 10 = 100), the square root of 100 is indeed 10.
The other options, 50, 10 and -10, are not the correct square roots of 100.
To find the square root of 100 (√100), you can use a calculator or follow these steps:
1. Start with the number 100.
2. Divide the number by 2: 100 ÷ 2 = 50.
3. Take the average of the result from step 2 and the original number, which is 50 and 100 in this case. (50 + 100) ÷ 2 = 75.
4. Repeat steps 2 and 3 until you find a number whose square is closest to 100. Continuing the process:
- Divide 75 by 2: 75 ÷ 2 = 37.5.
- Take the average of 37.5 and 75: (37.5 + 75) ÷ 2 = 56.25.
- Divide 56.25 by 2: 56.25 ÷ 2 = 28.125.
- Take the average of 28.125 and 56.25: (28.125 + 56.25) ÷ 2 = 42.1875.
- Divide 42.1875 by 2: 42.1875 ÷ 2 = 21.09375.
- Take the average of 21.09375 and 42.1875: (21.09375 + 42.1875) ÷ 2 = 31.640625.
(Continuing this process eventually leads to a result that is 10.)
Therefore, the square root of 100 (√100) is 10.
The correct answer is option 3: 10.