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

Step-by-step 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.

$= {48}^{ \frac{1}{2} }$

$= {(16 \times 3)}^{ \frac{1}{2} }$

$= {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} }$

$\:$

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

$\:$

$= {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} }$

$= \sqrt[2]{16} \times {3}^{ \frac{1}{2} }$

$= 4 \times {3}^{ \frac{1}{2} }$

The answer is C.