Answer :

GinnyAnswer
Sure, let's solve the given mathematical expressions step by step:

### 2. [tex]\(\sqrt{(3+7)^2 - 19}\)[/tex]

1. Start by calculating the expression inside the parentheses:
[tex]\[ 3 + 7 = 10 \][/tex]

2. Next, square this result:
[tex]\[ 10^2 = 100 \][/tex]

3. Subtract 19 from the squared value:
[tex]\[ 100 - 19 = 81 \][/tex]

4. Finally, take the square root of the result:
[tex]\[ \sqrt{81} = 9.0 \][/tex]

### 4. [tex]\(\sqrt{91 + (5 + 11 - 13)^2}\)[/tex]

1. Begin by calculating the expression inside the parentheses:
[tex]\[ 5 + 11 - 13 = 3 \][/tex]

2. Square this result:
[tex]\[ 3^2 = 9 \][/tex]

3. Add 91 to the squared value:
[tex]\[ 91 + 9 = 100 \][/tex]

4. Take the square root of the result:
[tex]\[ \sqrt{100} = 10.0 \][/tex]

### 7. [tex]\(\sqrt[3]{4 \times (7 + 5 - 8)^2}\)[/tex]

1. Start by calculating the expression inside the parentheses:
[tex]\[ 7 + 5 - 8 = 4 \][/tex]

2. Square this result:
[tex]\[ 4^2 = 16 \][/tex]

3. Multiply the squared value by 4:
[tex]\[ 4 \times 16 = 64 \][/tex]

4. Finally, take the cube root of the result:
[tex]\[ \sqrt[3]{64} = 3.9999999999999996 \][/tex]

So, the final results are:
- For expression 2: [tex]\(9.0\)[/tex]
- For expression 4: [tex]\(10.0\)[/tex]
- For expression 7: [tex]\(3.9999999999999996\)[/tex]

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