Find the square root of 81: 81−−√.(1 point)
Responses
9
9
9, −9
9, negative 9
40.5
40.5
−9
9
To find the square root of 81, we have to find a number that, when multiplied by itself, equals 81. The square root of 81 is 9. So the answer is 9.
To find the square root of 81, we need to remember that the square root of a number is a value that, when multiplied by itself, gives the original number.
One way to calculate the square root of 81 is by using a calculator. Simply enter 81 and look for the square root symbol (√). Press the square root symbol, and the calculator will display the answer, which is 9.
Another method to find the square root without a calculator is by using prime factors. Since 81 is a perfect square, we can factor it into prime numbers. 81 is equal to 3^4, where 3 is the prime factor.
To find the square root manually, we split the number 81 into prime factors as follows: 3 × 3 × 3 × 3. Then, we pair the factors by finding two of the same factors to join together to form perfect squares. In this case, we have two pairs: 3 × 3 and 3 × 3.
Taking one factor from each pair, we have 3 × 3, which equals 9. Therefore, the square root of 81 is 9.
Therefore, the correct answer is 9.