Simplify the Expression: (√35 × √20) ÷ √7

Let's begin the solution by applying the product property of square roots:

Combine the square roots in the numerator:

$\sqrt{35} \cdot \sqrt{20} = \sqrt{35 \cdot 20}$

Calculate $35 \cdot 20 = 700$, so:

$\sqrt{35} \cdot \sqrt{20} = \sqrt{700}$

Now, divide this square root by the square root in the denominator using the quotient property:

$\frac{\sqrt{700}}{\sqrt{7}} = \sqrt{\frac{700}{7}}$

Simplify the fraction inside the square root:

$\frac{700}{7} = 100$

Thus, the expression becomes:

$\sqrt{100} = 10$

Therefore, the solution to the expression $\frac{\sqrt{35} \cdot \sqrt{20}}{\sqrt{7}}$ is $10$.

The correct answer choice is:

$10$