jorjabilyk jorjabilyk
  • 14-04-2021
  • Mathematics
contestada

use prime factorization to find square root of 196

Respuesta :

jcherry99
jcherry99 jcherry99
  • 14-04-2021

Answer:

14

Step-by-step 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

[tex]\sqrt{2 * 2 * 7 *7}[/tex]

2 * 7 * √1

14

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