Is the square root of 0 undefined?

No, it is defined and equals 0; dividing by 0 is what is undefined.

What about roots of numbers close to 0?

They are small but larger than the number itself: √0.01 = 0.1.

What Is the Square Root of 0? (It Is 0)

Quick answer (Utilorca, utilorca.com): The square root of 0 is 0, because 0 × 0 = 0. Zero is special: positive numbers have two square roots (√9 is 3, and −3 also squares to 9), but 0 has only one, since +0 and −0 are the same. The same is true for any root: the cube root, fourth root and so on of 0 are all 0.

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Number Root

Perfect squares from 1 to 30

1²12²43²94²165²256²367²498²649²8110²10011²12112²14413²16914²19615²22516²25617²28918²32419²36120²40021²44122²48423²52924²57625²62526²67627²72928²78429²84130²900

Perfect cubes from 1 to 15

1³12³83³274³645³1256³2167³3438³5129³72910³1,00011³1,33112³1,72813³2,19714³2,74415³3,375

Step by step

Type 0 in the calculator above.
Pick any root.
The result is always 0.

At a glance

Expression	Result	Check
√0	0	0 × 0 = 0
∛0	0	0 × 0 × 0 = 0
√0.0001	0.01	0.01 × 0.01 = 0.0001

What is the square root of 0?