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TheUnknownScientist

Answer:

The square root of 196 is 14

Step-by-step explanation:

Prime factorization of 196:

  • 2² × 7²

Prime factors of 196 in pairs:

  • (2 × 2) × (7 × 7)

Now square root of 196:

  • √196 = √(2 × 2) × (7 × 7)
  • √196 = √(2 × 7)²
  • √196 = (2 × 7)
  • = 14

Thus, The square root of 196 is 14

-TheUnknownScientist 72

kamilmatematik100504

Answer: [tex]\sqrt{196} =14[/tex]

Step-by-step explanation:

[tex]{\begin{array}{c|c}196 & 2 \\ 98&2 \\49 &7 \\7&7 \end {array }[/tex]         [tex]196=2\cdot 2\cdot 7\cdot 7=2^4\cdot 7^2 \\\\\sqrt{196} =\sqrt{2^2\cdot 7^2} =2\cdot 7=14[/tex]

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