Question

(-9 + 5square root 35)squared

Answer 1

To simplify \((-9 + 5\sqrt{35})^2\), we can use the formula \((a + b)^2 = a^2 + 2ab + b^2\).

Let \(a = -9\) and \(b = 5\sqrt{35}\).

Now, calculate each part:

1. \(a^2 = (-9)^2 = 81\)
2. \(b^2 = (5\sqrt{35})^2 = 25 \cdot 35 = 875\)
3. \(2ab = 2 \cdot (-9) \cdot (5\sqrt{35}) = -90\sqrt{35}\)

Now, combine these results:

\[
(-9 + 5\sqrt{35})^2 = 81 + 875 - 90\sqrt{35}
\]

This simplifies to:

\[
956 - 90\sqrt{35}
\]

So, the final result is:

\[
\boxed{956 - 90\sqrt{35}}
\]