I'm assuming the square root is over the entire fraction (and not just over the 1). If so, then the answer is 1/14
Apply the square root to each part:
sqrt(1) = sqrt(1^2) = 1
sqrt(196) = sqrt(14^2) = 14
The general rule is sqrt(x^2) = x where x is any positive number.
Note how
(1/14)*(1/14) = (1*1)/(14*14) = 1/196
showing that 1/14 multiplied with itself is 1/196. The square root just thinks of this process in reverse. You start with 1/196 and end up with 1/14.
The simplified form of the expression√1/196 is 1/14 and this can be determined by using the arithmetic operations.
Given :
Expression -- [tex]\sqrt{\dfrac{1}{196}}[/tex]
The following steps can be used in order to determine the simplified form of the expression√1/196:
Step 1 - The arithmetic operations can be used in order to determine the simplified form of the given expression.
Step 2 - Write the given expression.
[tex]\sqrt{\dfrac{1}{196}}[/tex]
Step 3 - The square root of 1 is 1.
Step 4 - The square root of 196 is 14.
Step 5 - So, the simplified form of the given expression is given below:
[tex]\sqrt{\dfrac{1}{196}} = \dfrac{1}{14}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/25277954
