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What is the principal root of 10?

Updated: 4/28/2022
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13y ago

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The principal (square) root of 10 is an irrational real number which equals approximately 3.16227766.

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Q: What is the principal root of 10?
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Is -10 a square root of 100?

In some sense, yes. However, due to standard mathematical notation, the square root of 100 is 10. There are some things to note. First, when we use a square root sign (or any root sign) in math, it is assumed we mean the principal root. This is the root that is greater than or equal to 0. The principal root of 100 is 10, so when asked just for the square root of 100, it is generally assumed the answer is simply 10. To be more complete, when taking all second roots of 100 (all square roots), we get 10 and -10. The number -10 is a second root of 100, just not the principal root. Finally, when considering equations such as x2 = 100, we must take the positive and negative square roots of 100 (the principal root and inverse of the principal root) to find all the solutions. We get x = 10, -10.


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The principal square root of 100 is 10.


What is the principal square root of 0.01?

It is: 0.1 or 1/10


What is a principal square root?

The principal square root is the non-negative square root.


What is a principal roots?

The principal root is the positive square root.


What is the principal square root of 225?

The principal (positive) square root of 225 is 15.


What is the principal square root of 9?

The principal square root of 9, the positive integer which is the square root of the number, is 3.


What is the principal root of 121400?

Rounded to two decimal places, the principal square root of 121400 is 348.43.


What is the princpal of a square root?

the principal root is the positive square root.


What is the difference between principal square root and perfect square root?

A principal square root is any square root that's answer is positive, and a perfect square root is a square root that's answer is an integer.


What do you call the nonnegative square root?

The principal square root.


What is the principal root of 49?

The square root of 49 is 7