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Solve for the expression:
[tex]\[ 2[9 \times \{19 - \sqrt{14 - 10} - 8\} = 9] \][/tex]

Sagot :

GinnyAnswer
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].
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