What is the simplified form of the expression√1/196

The simplified form of the expression√1/196 is 1/14 and this can be determined by using the arithmetic operations.

Given :

Expression  --  

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.

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:

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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.

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