Question

Simplify the exponential expression 48 ^1/2

O 2 (24^1/2)
O 3 (16^1/2)
O 4 (3^1/2)
O 16 (3^1/2)

Answer 1

Explanation:

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To answer this question, we have to know about the way to simplify it. First, you find the factor of 48.

`= {48}^{ (1)/(2) }`

`= {(16 * 3)}^{ (1)/(2) }`

`= {16}^{ (1)/(2) } * {3}^{ (1)/(2) }`

`\:`

—Use the general formula of the exponential, where a^m/n = ^n√a^m.

`\:`

`= {16}^{ (1)/(2) } * {3}^{ (1)/(2) }`

`= \sqrt[2]{16} * {3}^{ (1)/(2) }`

`= 4 * {3}^{ (1)/(2) }`

The answer is C.