QuestionSubtract. Write your answer in simplest form. $-\sqrt{28}-8 \sqrt{7}$

Studdy Solution

STEP 1

1. The expression involves subtraction of square roots.
2. Simplification of square roots is necessary to combine like terms.

STEP 2

1. Simplify the square root terms.
2. Combine like terms.

STEP 3

Simplify the square root $\sqrt{28}$ .
$\sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7}$
So, the expression becomes:
$-\sqrt{28} = -2\sqrt{7}$

STEP 4

Combine the like terms $-2\sqrt{7}$ and $-8\sqrt{7}$ .
$-2\sqrt{7} - 8\sqrt{7} = (-2 - 8)\sqrt{7} = -10\sqrt{7}$
The expression in its simplest form is:
$\boxed{-10\sqrt{7}}$

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