I need to know the square root of 196.
The square root X of a number N is such that X² = N.
Since 14² = 196, 14 is the square root of 196.
To find the square root of 196, you can use a calculator or perform the calculation manually by using a method like prime factorization or long division. Here, I will explain how to find the square root manually using the prime factorization method.
1. Begin by finding the prime factorization of 196. Prime factorization means expressing the number as a product of its prime factors.
196 can be written as: 2² × 7²
2. Take one factor from each pair of prime factors and multiply them together.
2 × 7 = 14
3. The product, 14, is the square root of 196.
So, the square root of 196 is 14.
You can also use a calculator or a math app on your phone to find the square root of 196 directly. Just enter the number 196 and look for the square root function (√) to get the square root value, which is 14.