Find the square root of 196: √196 (1 point)
The square root of 196 is 14.
To find the square root of 196, follow these steps:
1. Start by recognizing that 196 is a perfect square.
- You can see this because 14 × 14 = 196.
2. Use the square root property to simplify the expression.
- The square root of a number multiplied by itself gives you the original number.
3. Therefore, the square root of 196 is 14.
To find the square root of 196 (√196), you can use a calculator or use a method called prime factorization.
Method 1: Using a calculator:
1. Enter the number 196 on your calculator.
2. Look for the square root (√) function on your calculator. It is usually denoted by a button with "√" or "root" symbol.
3. Press the square root button. The calculator will display the result, which is 14.
Method 2: Prime factorization:
1. Prime factorize the number 196 by finding its prime factors. Start by dividing it by the smallest prime numbers (2, 3, 5, 7...) until you can't divide it anymore.
196 ÷ 2 = 98
98 ÷ 2 = 49
Therefore, the prime factors of 196 are 2, 2, and 49.
2. Now, group the prime factors in pairs. Each pair represents a square root.
(2 × 2) × 49
3. Take the square root of each pair.
√(2 × 2) × √49
= 2 × 7
4. Multiply the results together.
2 × 7 = 14
Therefore, the square root of 196 is 14.