###### Asked in Math and Arithmetic

Math and Arithmetic

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

## Answer

###### Wiki User

###### July 18, 2012 4:30AM

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.

## Related Questions

###### Asked in Math and Arithmetic

### What is the relationship between perfect squares and square roots examples?

There is a partial relationship.
The principal square root of a perfect square is the number
itself.
For example,
the principal square root of 5^2
= the principal square root of 25
= the positive element in {-5, 5}
= 5.
The converse is not true. The number 3, for example, has a
square root which are approx -1.7321 and 1.7321. But the square of
either of these numbers is 3, but that is not a perfect square
since it is not the square of an integer.

###### Asked in Math and Arithmetic, Numbers

### What number is both a square number and a cube number between 1 and 25?

There is not a number that is a perfect square and perfect cube
between 1 and 25.
There is not a number that is a perfect square and perfect cube
between 1 and 25.
There is not a number that is a perfect square and perfect cube
between 1 and 25.
There is not a number that is a perfect square and perfect cube
between 1 and 25.

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