1 Answer

Krolik · Answer 1 · 2022-01-01T22:41:09+0000

Answer:

The answer to your question is the first choice

Explanation:

Data

$\sqrt{196m^(12)n^(4)}$

Process

1.- Find the prime factors of 196

196 2

98 2

49 7

7 7

1

Express 196 as a composition of prime factors

196 = 2²7²

2.- Express the root as exponents

$\sqrt{196m^(12)n^(4)}$ =
$\sqrt{2^(2)7^(2)m^(12)n^(4)}$

= 2²/² 7 ²/² m¹²/² n⁴/²

Simplify = 2 7 m⁶ n²

Result = 14m⁶n²

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