Find the square root of 81: 81−−√.(1 point)
Responses
40.5
40.5
9
9
−9
negative 9
9, −9
9
To find the square root of 81, you can use a calculator or perform the calculation manually.
If you have a scientific calculator, you can simply input 81 and then press the square root (√) button. The result will be displayed as 9, which is the square root of 81.
If you prefer to perform the calculation manually, you can use the method of prime factorization. Here's how:
1. Start by finding the prime factors of 81. The prime factors of 81 are 3, 3, and 3.
2. Pair up the prime factors in twos: 3 x 3 x 3 = (3 x 3) x 3 = 9 x 3.
3. Take one factor from each pair and multiply them together: 9 x 3 = 27.
So the square root of 81 is 9. However, it's important to note that the square root of a positive number has both positive and negative solutions. Therefore, the negative square root of 81 is -9.
Therefore, the correct answer is 9, -9.
To find the square root of 81, follow these steps:
Step 1: Divide 81 by any number to get an approximation. Let's start with 9.
81 ÷ 9 = 9
Step 2: Average the result from Step 1 with the number you divided by, which is 9.
(9 + 9)/2 = 9
Step 3: Repeat Steps 1 and 2 until you find an accurate result. In this case, since the square root of 81 is a whole number, the process ends here.
Therefore, the square root of 81 is 9, and it does not have any other roots.