10 divided by square root of 8




Here we will show you how to calculate 10 divided by the square root of 8. In fact, we will show you two different ways of calculating 10 divided by √8. We start by displaying the problem we are solving in mathematical terms, as follows:

10 ÷ √8  = 
   
10
 
   
8

Method 1
To solve the problem 10 divided by the square root of 8 using this method, we first find the square root of 8, and then we divide 10 by the answer to the square root of 8.

   
10
 
   
8
  ≈ 
   
10
 
   
2.8284271

   
10
 
   
2.8284271
  ≈  3.5355339


Method 2
With this alternate method, we first move the radical from the denominator to the numerator by multiplying the numerator and denominator by √8 like this.

   
10 × √8
 
   
8 × √8
  ≈ 
   
28.2842712
 
   
8

Then we divide the numerator by the denominator to once again get the answer to 10 divided by the square root of 8.

   
28.2842712
 
   
8
  ≈ 3.5355339 

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