Simplify the Radical Expression 7*5 square root of 192

$7 \cdot 5 \sqrt{192}$

Multiply $7$ by $5$ .

$35 \sqrt{192}$

Rewrite $192$ as $8^{2} \cdot 3$ .

Factor $64$ out of $192$ .

$35 \sqrt{64 (3)}$

Rewrite $64$ as $8^{2}$ .

$35 \sqrt{8^{2} \cdot 3}$

Pull terms out from under the radical.

$35 (| 8 | \sqrt{3})$

The absolute value is the distance between a number and zero. The distance between $0$ and $8$ is $8$ .

$35 (8 \sqrt{3})$

Multiply $8$ by $35$ .

$280 \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$280 \sqrt{3}$

Decimal Form:

$484.97422611 \dots$