6 divided by square root of 2 Here we will show you how to calculate 6 divided by the square root of 2. In fact, we will show you two different ways of calculating 6 divided by √2. We start by displaying the problem we are solving in mathematical terms, as follows:

6 ÷ √2  =
 6 √2

Method 1
To solve the problem 6 divided by the square root of 2 using this method, we first find the square root of 2, and then we divide 6 by the answer to the square root of 2.

 6 √2
≈
 6 1.41421

 6 1.41421
≈  4.2426407

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.

 6 × √2 √2 × √2
≈
 8.48528 2

Then we divide the numerator by the denominator to once again get the answer to 6 divided by the square root of 2.

 8.48528 2
≈ 4.2426407

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