Question 3 options:
Find the square root of this number.
81 end root
9
To find the square root of 81, you can follow these steps:
1. Write down the number 81.
2. Take a guess at the square root. Let's start with 9 since 9^2 equals 81.
3. Divide 81 by 9:
- 81 ÷ 9 = 9
4. Check if the result of step 3 is equal to the guess from step 2. If yes, then 9 is the square root.
5. If the result from step 3 is not equal to the guess from step 2, repeat steps 2-4 with a new guess:
- Take the average of the guess from step 2 and the result from step 3: (9 + 9) ÷ 2 = 9
- Divide 81 by the new guess:
- 81 ÷ 9 = 9
- Check if the result of step 5c is equal to the new guess from step 5b. If yes, then 9 is the square root.
6. Repeat steps 5 until you find the exact square root or reach a desired level of precision.
In this case, the square root of 81 is 9.
To find the square root of a number, you can follow these steps:
1. Take the number for which you want to find the square root. In this case, the number is 81.
2. Write down the square root symbol, which looks like a checkmark or a V-shape.
3. Place the number 81 underneath the square root symbol.
4. Now, starting from the right-most digit of the number, find the largest perfect square that is less than or equal to that digit. In this case, the right-most digit is 1, and the largest perfect square less than or equal to 1 is 1 itself.
5. Write down the square root of that digit, which is 1, above the digit 1.
6. Subtract the square of the digit you just found from the original number. In this case, subtract 1^2 (which is 1) from 81.
- The result is 81 - 1 = 80.
7. Bring down the next digit, which is 8, and write it next to the 80.
- This gives you the number 8080.
8. After writing down the next digit, repeat steps 4 to 7 until you have used all the digits.
- In this case, there are no more digits.
9. The number you have obtained after following steps 4 to 8 is the approximate square root of the original number. In this case, the approximate square root of 81 is 9.
10. To find the exact square root, you can use a calculator or a mathematical formula. The square root of 81 is exactly 9.
So, the square root of 81 is 9.