Simplify -6 square root of 7*4 square root of 5

$- 6 \sqrt{7} \cdot 4 \sqrt{5}$

Step 1

Multiply $4$ by $- 6$ .

$- 24 \sqrt{7} \sqrt{5}$

Step 2

Combine using the product rule for radicals.

$- 24 \sqrt{5 \cdot 7}$

Step 3

Multiply $5$ by $7$ .

$- 24 \sqrt{35}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 24 \sqrt{35}$

Decimal Form:

$- 141.98591479 \dots$