What is 4 divided by square root of 2? (4/√2)

4 divided by square root of 2

Here we will show you how to calculate 4 divided by the square root of 2. In fact, we will show you two different ways of calculating 4 divided by √2. We start by displaying the problem we are solving in mathematical terms, as follows:

4 ÷ √2 =

		4
		√2

Method 1
To solve the problem 4 divided by the square root of 2 using this method, we first find the square root of 2, and then we divide 4 by the answer to the square root of 2.

		4
		√2

≈

		4
		1.4142136

		4
		1.4142136

≈ 2.8284271

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.

		4 × √2
		√2 × √2

≈

		5.6568542
		2

Then we divide the numerator by the denominator to once again get the answer to 4 divided by the square root of 2.

		5.6568542
		2

≈ 2.8284271

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