To evaluate [tex]\(\sqrt{42.25}\)[/tex], we need to find the number that, when squared, gives us 42.25.
First, let's consider a number [tex]\( x \)[/tex] such that [tex]\( x^2 = 42.25 \)[/tex].
Mathematically, this is represented as:
[tex]\[ x = \sqrt{42.25} \][/tex]
After careful consideration and checking, we find that the square root of 42.25 is indeed 6.5. This is because:
[tex]\[ (6.5)^2 = 6.5 \times 6.5 = 42.25 \][/tex]
Therefore, the value of [tex]\(\sqrt{42.25}\)[/tex] is:
[tex]\[ \sqrt{42.25} = 6.5 \][/tex]
Hence, the answer is [tex]\( 6.5 \)[/tex].
