Question

$6 \sqrt{192}$
solve this problem ​

Answer 1

$= 6 \sqrt{192} \\ = 6 \times 13.8 \\ = 82.8$

Answer 2

Step-by-step explanation:

Factor 192 into its prime factors

192 = 26 • 3

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

64 = 26

Factors which will remain inside the root are :

3 = 3

To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

8 = 23

The simplified SQRT looks like this:

8 • sqrt (3)

Simplified Root :

8 • sqrt(3)

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