Evaluate square root of 7* square root of 343

$\sqrt{7} \cdot \sqrt{343}$

Step 1

Combine using the product rule for radicals.

$\sqrt{7 \cdot 343}$

Step 2

Simplify the expression.

Multiply $7$ by $343$ .

$\sqrt{2401}$

Rewrite $2401$ as $49^{2}$ .

$\sqrt{49^{2}}$

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

$49$