Find the square root of 81: 81−−√ .(1 point)
Responses
9, −9
9, negative 9
9
9
−9
negative 9
40.5
9
Find the square root of 100: 100−−−√ .(1 point)
Responses
50
50
10,−10
10 comma negative 10
−10
negative 10
10
10
To find the square root of 81, you can use a few different methods, such as using the square root function on a calculator or finding the prime factorization of 81. Let's go through the steps with both methods:
Method 1: Using a calculator or a digital tool
You can simply use a calculator or any digital tool that has a square root function.
Using a calculator, the square root of 81 is 9. So the correct answer is 9.
Method 2: Prime factorization method
To find the square root of 81 using prime factorization, we need to express 81 as the product of its prime factors.
81 = 3 * 3 * 3 * 3
Since there are four 3s, we can pair them and bring one 3 out of the square root sign:
√(3 * 3 * 3 * 3) = 3 * 3 = 9
So the correct answer is also 9.
Therefore, the correct square root of 81 is 9.