Answer :

To find the value of [tex]\( 9 \sqrt{2} \)[/tex], we need to follow these steps:

1. Find the Square Root of 2:
The square root of 2, often denoted as [tex]\(\sqrt{2}\)[/tex], is approximately [tex]\(1.4142135623730951\)[/tex].

2. Multiply by 9:
Now, we need to multiply this value by 9. This means we take the approximation of [tex]\(\sqrt{2}\)[/tex], which is [tex]\(1.4142135623730951\)[/tex], and multiply it by 9.

[tex]\[ 9 \times 1.4142135623730951 \][/tex]

3. Calculate the Result:
When we perform the multiplication:

[tex]\[ 9 \times 1.4142135623730951 = 12.727922061357857 \][/tex]

So, the value of [tex]\( 9 \sqrt{2} \)[/tex] is approximately [tex]\( 12.727922061357857 \)[/tex].