10 divided by square root of 2 Here we will show you how to calculate 10 divided by the square root of 2. In fact, we will show you two different ways of calculating 10 divided by √2. We start by displaying the problem we are solving in mathematical terms, as follows:

10 ÷ √2  =
 10 √2

Method 1
To solve the problem 10 divided by the square root of 2 using this method, we first find the square root of 2, and then we divide 10 by the answer to the square root of 2.

 10 √2
≈
 10 1.41421

 10 1.41421
≈  7.0710678

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.

 10 × √2 √2 × √2
≈
 14.1421 2

Then we divide the numerator by the denominator to once again get the answer to 10 divided by the square root of 2.

 14.1421 2
≈ 7.0710678

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