Answer:
6
Step-by-step explanation:
Given: \(36^{1/2}\)
Here we can write 36 = 6 * 6 = \(6^{2}\)
[Using the product rule: \(a^{m} *a^{n} = a^{m+n}\)
\(36^{1/2} = (6^{2} )\)^1/2
Now we have to use power rule: \((a^{m} )^n = a^{mn}\)
Applying the above rule, we get
= \(6^{(2*1/2)}\)
= \(6^{2/2}\)
= 6
Therefore, the answer is 6.