Suppose we have eight $8$ and we have to reach $1000$ with eight $8$. Use $+ \space
- \space \times \space \div \space \sqrt{} \space \cdots $ to reach $1000$.
Please help me to find at least one more possible solution except that I will write below.
$$8 \space \square \space 8 \space \square \space8 \space \square \space8 \space \square \space8 \space \square \space8 \space \square \space8 \space \square \space8 \space =1000 $$
one possible solution,that i found
$$888+88+8+8+8=1000$$
$***$ Parenthesis is allowed. Rationals allowed. Integer division allowed. Exponents allowed. Factorials allowed.
but I got stuck to find more.
Thanks for any solution or hint in advance.
\begin{equation} \begin{split} 1000&=(8+8)\times 8\times \sqrt{8\times 8}-8-8-8\\ &=8\times 8\times8\times\sqrt{\sqrt{8+8}}-8-8-8\\ &=88\times 88\div 8+8\times \sqrt{8+8}\\ \end{split} \end{equation}
If allowed to use exponents, another solution is:
$$1000=(8+(8+8)\div8)^{\sqrt{\sqrt{8+8}}+8\div8}$$