Find the square root of 196 √196
The square root of 196 is 14.
To find the square root of 196, we can follow these steps:
Step 1: Start by dividing the number 196 by its prime factors. We can divide it by 2, but since 196 is an even number, we can divide it by 2 twice. So, 196 ÷ 2 ÷ 2 = 49.
Step 2: Now, we have simplified 196 as 49 times 4, which can be written as 49 * 2^2.
Step 3: Take the square root of each individual factor. The square root of 49 is 7, and the square root of 2^2 is 2.
Step 4: Multiply the square roots. 7 * 2 = 14.
Therefore, the square root of 196 (√196) is 14.
To find the square root of 196, you can start by factoring 196 into its prime factors:
196 = 2 * 2 * 7 * 7
Now, group the prime factors in pairs of two:
196 = (2 * 2) * (7 * 7)
Taking the square root of each pair separately:
√(2 * 2) * √(7 * 7)
Simplifying further:
2 * 7
Which equals 14.
Therefore, the square root of 196 (√196) is equal to 14.