What is 7 divided by square root of 2? (7/√2)

7 divided by square root of 2

Here we will show you how to calculate 7 divided by the square root of 2. In fact, we will show you two different ways of calculating 7 divided by √2. We start by displaying the problem we are solving in mathematical terms, as follows:

7 ÷ √2 =

		7
		√2

Method 1
To solve the problem 7 divided by the square root of 2 using this method, we first find the square root of 2, and then we divide 7 by the answer to the square root of 2.

		7
		√2

≈

		7
		1.4142136

		7
		1.4142136

≈ 4.9497475

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.

		7 × √2
		√2 × √2

≈

		9.8994949
		2

Then we divide the numerator by the denominator to once again get the answer to 7 divided by the square root of 2.

		9.8994949
		2

≈ 4.9497475

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