What is the positive square root of 196? square root 196
The positive square root of 196 is 14.
The positive square root of 196 is 14.
The positive square root of 196 is 14.
To find the square root of 196, you can use a calculator or perform the calculation manually.
Manually, you can use the method of prime factorization to simplify the expression inside the square root.
1. Start by factoring 196 into its prime factors: 196 = 2 × 2 × 7 × 7.
2. Group the prime factors in pairs: 196 = (2 × 2) × (7 × 7).
3. Take one factor from each pair and multiply them: √[(2 × 2) × (7 × 7)] = √[2 × 7] × √[2 × 7].
4. Simplify each square root: √[2 × 7] × √[2 × 7] = √2 × √7 × √2 × √7.
5. Multiply the like terms: √2 × √7 × √2 × √7 = 2 × 7 = 14.
Alternatively, using a calculator, you can simply input the number 196 and find the square root function (usually denoted as √x or x^(0.5)) to get the answer of 14.