Simplify the Radical Expression 25 square root of 7(2 square root of 2)

$25 \sqrt{7} (2 \sqrt{2})$

Multiply $2$ by $25$ .

$50 \sqrt{7} \sqrt{2}$

Combine using the product rule for radicals.

$50 \sqrt{2 \cdot 7}$

Multiply $2$ by $7$ .

$50 \sqrt{14}$

The result can be shown in multiple forms.

Exact Form:

$50 \sqrt{14}$

Decimal Form:

$187.08286933 \dots$