The answer to $5 \sqrt{28} \times 2 \sqrt{5}$, given in its simplest form, is $w \sqrt{z}$, where $w$ and $z$ are integers. Calculate the values of $w$ and $z$.

Step 1 ：Given expression: \(5 \sqrt{28} \times 2 \sqrt{5}\)

Step 2 ：Multiply coefficients: \(5 \times 2 = 10\)

Step 3 ：Multiply square roots: \(\sqrt{28} \times \sqrt{5} = \sqrt{140}\)

Step 4 ：Combine coefficients and square roots: \(10 \sqrt{140}\)

Step 5 ：Simplify the square root: \(\sqrt{140} = \sqrt{4 \times 35} = 2 \sqrt{35}\)

Step 6 ：Combine simplified square root with coefficient: \(10 \times 2 \sqrt{35} = 20 \sqrt{35}\)

Step 7 ：\(\boxed{20 \sqrt{35}}\)