What is 1 divided by square root of 2? (1/√2)

1 divided by square root of 2

Here we will show you how to calculate 1 divided by the square root of 2. In fact, we will show you two different ways of calculating 1 divided by √2. We start by displaying the problem we are solving in mathematical terms, as follows:

1 ÷ √2 =

		1
		√2

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

		1
		√2

≈

		1
		1.4142136

		1
		1.4142136

≈ 0.7071068

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.

		1 × √2
		√2 × √2

≈

		1.4142136
		2

Then we divide the numerator by the denominator to once again get the answer to 1 divided by the square root of 2.

		1.4142136
		2

≈ 0.7071068

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