What is 1 divided by square root of 10? (1/√10)

1 divided by square root of 10

Here we will show you how to calculate 1 divided by the square root of 10. In fact, we will show you two different ways of calculating 1 divided by √10. We start by displaying the problem we are solving in mathematical terms, as follows:

1 ÷ √10 =

		1
		√10

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

		1
		√10

≈

		1
		3.1622777

		1
		3.1622777

≈ 0.3162278

Method 2
With this alternate method, we first move the radical from the denominator to the numerator by multiplying the numerator and denominator by √10 like this.

		1 × √10
		√10 × √10

≈

		3.1622777
		10

Then we divide the numerator by the denominator to once again get the answer to 1 divided by the square root of 10.

		3.1622777
		10

≈ 0.3162278

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