Question

Use prime factorization to find square root of 196

Answer 1

14

Explanation:

You should always specify if you want an exact answer or a rounded one. I'll assume the former.

Prime Factors

• 196 = 2 * 98
• 196 = 2 * 2 * 49
• 196 = 2 * 2 * 7 * 7

Rule

For every 2 factors under the root sign, take 1 outside the root sign and throw the other one away.

Solution

`√(2 * 2 * 7 *7)`

2 * 7 * √1

14