Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
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]
### 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]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.