√79 =
√125 =
√30 =
√79 ≈ 8.888
√125 = 11.180
√30 ≈ 5.477
√79 ≈ 8.89.
√125 = 11.18.
√30 ≈ 5.48.
To find the square root of a number, we can use a calculator or a mathematical method called the prime factorization method. Let's use the calculator method to find the square root of the given numbers:
√79 ≈ 8.888
√125 ≈ 11.180
√30 ≈ 5.477
Keep in mind that these are approximate values rounded to three decimal places.
If you want to find the square root using the prime factorization method, follow these steps:
1. Begin by finding the prime factors of the given number.
For example, the prime factors of 79 are 79 itself since it is a prime number.
2. Divide the given number by the prime factors in pairs, starting from the smallest prime factor.
For 79, we don't have any pair of prime factors, so we move on to the next step.
3. Find the square root of each pair resulting from step 2 and multiply them together.
Since we don't have any pairs for 79, the square root of 79 is just √79.
For the other given numbers (125 and 30), you would repeat the same steps.
However, using a calculator is much quicker and more accurate, so it's typically the preferred method.