To solve the expression [tex]\( 6 \sqrt{2} \)[/tex], follow these steps:
1. Identify the components:
- You have the number 6.
- You have the square root of 2, denoted as [tex]\( \sqrt{2} \)[/tex].
2. Understand the operation:
- The operation required is multiplication of 6 by [tex]\( \sqrt{2} \)[/tex].
3. Use the known value of [tex]\( \sqrt{2} \)[/tex]:
- The square root of 2 is an irrational number that is approximately 1.414213562.
4. Multiply the numbers:
- Multiply 6 by the approximate value of [tex]\( \sqrt{2} \)[/tex].
[tex]\[
6 \times 1.414213562 \approx 8.485281374238571
\][/tex]
So, the value of [tex]\( 6 \sqrt{2} \)[/tex] is approximately [tex]\( 8.485281374238571 \)[/tex].
