What Is The Square Root Of 0?

What is the square root of 0?

Or written mathematically:

\sqrt{0} \  ?

The square root of 0 is 0.

\sqrt{0} \ = \ 0

To learn how you can obtain this answer, let’s explain the concept of a square root first.

What Is A Square Root?

Squaring a number is where you take that number and multiply it by itself.

x \times x = x^2

For example, the square of 2 is 4; it’s the result of multiplying 2 by 2. Note that the same number is multiplied by itself to form the squared number – this is important .

The opposite of squaring a number is finding the square root . Therefore to find the square root of a number is to find the number that when multiplied by itself, will equal the number you have been asked to find the square root of.

For example, the square root of 4 is 2 because 2 times 2 equals 4.

\sqrt{4} \ ? \\ x \times x = 4 \\ 2 \times 2 = 4

To find the square root of 0 therefore we need to find what the same number when multiplied by itself will equal 0.

\sqrt{0} \ ? \\ x \times x = 0 \\ 0 \times 0 = 0

Note the important fact: same number .

You should know that any number, when multiplied by 0, will equal zero, but these are two different numbers. To find the square root of a number, you need to be able to find the same number , and this is why the answer is 0.

Square Root Of Zero: Summary

Square roots are used for solving equations, especially formulas that use squaring of numbers a lot, such as the Pythagorean theorem, and using square roots is helpful when finding the hypotenuse, or side, of a right-angled triangle.

The content above explains what squaring a number is and how it is represented mathematically. Additionally, square roots are introduced and explained as being the inverse operation of squaring numbers. Square roots are used to solve equations, especially formulas that make use of squares often.