Question

which expression is equivalent to $3\sqrt{7} - 5\sqrt{7}$?
$8\sqrt{7}$ $8\sqrt{14}$ $-2\sqrt{7}$ $-2\sqrt{14}$
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Explanation:

Step1: Factor out common radical term

$3\sqrt{7} - 5\sqrt{7} = (3 - 5)\sqrt{7}$

Step2: Calculate coefficient difference

$3 - 5 = -2$

Step3: Combine coefficient and radical

$-2 \times \sqrt{7} = -2\sqrt{7}$

Answer:

-2√7 (Option C: $-2\sqrt{7}$)