100 divided by square root of 2




Here we will show you how to calculate 100 divided by the square root of 2. In fact, we will show you two different ways of calculating 100 divided by √2. We start by displaying the problem we are solving in mathematical terms, as follows:

100 ÷ √2  = 
   
100
 
   
2

Method 1
To solve the problem 100 divided by the square root of 2 using this method, we first find the square root of 2, and then we divide 100 by the answer to the square root of 2.

   
100
 
   
2
  ≈ 
   
100
 
   
1.4142136

   
100
 
   
1.4142136
  ≈  70.7106781


Method 2
With this alternate method, we first move the radical from the denominator to the numerator by multiplying the numerator and denominator by √2 like this.

   
100 × √2
 
   
2 × √2
  ≈ 
   
141.4213562
 
   
2

Then we divide the numerator by the denominator to once again get the answer to 100 divided by the square root of 2.

   
141.4213562
 
   
2
  ≈ 70.7106781 

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