Simplify ( square root of 3)(2 square root of 5)-4 square root of 15

$(\sqrt{3}) (2 \sqrt{5}) - 4 \sqrt{15}$

Step 1

Multiply $(\sqrt{3}) (2 \sqrt{5})$ .

Combine using the product rule for radicals.

$2 \sqrt{3 \cdot 5} - 4 \sqrt{15}$

Multiply $3$ by $5$ .

$2 \sqrt{15} - 4 \sqrt{15}$

Step 2

Subtract $4 \sqrt{15}$ from $2 \sqrt{15}$ .

$- 2 \sqrt{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt{15}$

Decimal Form:

$- 7.74596669 \dots$