To solve the expression [tex]\(2[9 \times\{19-\sqrt{14-10}-8\}=9]\)[/tex], let's break it down step by step:
1. Begin by evaluating the innermost expression inside the square root: [tex]\(\sqrt{14-10}\)[/tex].
[tex]\[
\sqrt{14-10} = \sqrt{4} = 2
\][/tex]
2. Substitute the value obtained back into the expression:
[tex]\[
19 - \sqrt{4} - 8 = 19 - 2 - 8
\][/tex]
3. Perform the subtraction operations in the curly braces:
[tex]\[
19 - 2 - 8 = 9
\][/tex]
4. Now, multiply by 9:
[tex]\[
9 \times 9 = 81
\][/tex]
5. Finally, multiply the result by 2:
[tex]\[
2 \times 81 = 162
\][/tex]
So, the final result of the expression [tex]\(2[9 \times\{19-\sqrt{14-10}-8\}=9]\)[/tex] is [tex]\(162\)[/tex].
