Question

Find the square root of 196 with process.​

Answer 1

Answer: $\sqrt{196} =14$

Step-by-step explanation:

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

Answer 2

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