Evaluate 4 square root of 3-3 square root of 4

$4 \sqrt{3} - 3 \sqrt{4}$

Step 1

Rewrite $4$ as $2^{2}$ .

$4 \sqrt{3} - 3 \sqrt{2^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$4 \sqrt{3} - 3 \cdot 2$

Step 3

Multiply $- 3$ by $2$ .

$4 \sqrt{3} - 6$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{3} - 6$

Decimal Form:

$0.92820323 \dots$