QuestionSimplify the following radical: $2 \sqrt{14}$ 14 7 $2 \sqrt{14}$ $14 \sqrt{2}$

Studdy Solution

STEP 1

1. We are asked to simplify the expression $2 \sqrt{14}$ .
2. Simplifying a radical involves expressing it in its simplest form, if possible.
3. The expression $2 \sqrt{14}$ is already in a simplified form since 14 cannot be further simplified into a product of a perfect square and another number.

STEP 2

1. Check if the number under the square root can be simplified.
2. Simplify the expression if possible.

STEP 3

Check if the number under the square root, 14, can be factored into a product of a perfect square and another number.
$14 = 2 \times 7$
Neither 2 nor 7 is a perfect square, so $\sqrt{14}$ cannot be simplified further.

STEP 4

Since $\sqrt{14}$ cannot be simplified further, the expression $2 \sqrt{14}$ is already in its simplest form.
The simplified expression is:
$2 \sqrt{14}$

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