Question

10square root 7 (4- square root 10)

Answer 1

To simplify the expression \( 10 \sqrt{7} (4 - \sqrt{10}) \), you can distribute \( 10 \sqrt{7} \) to both terms inside the parentheses:

\[
10 \sqrt{7} (4) - 10 \sqrt{7} (\sqrt{10})
\]

Calculating each term:

1. \( 10 \sqrt{7} \cdot 4 = 40 \sqrt{7} \)
2. \( 10 \sqrt{7} \cdot \sqrt{10} = 10 \sqrt{70} \)

Now, combine the results:

\[
40 \sqrt{7} - 10 \sqrt{70}
\]

So, the simplified expression is:

\[
40 \sqrt{7} - 10 \sqrt{70}
\]