Square Root of Zero

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Square root can be calculated for any number greater than or equal to 0. This is because in order to get a real number solution, the number inside the square root can be ‘0’ or any positive number. If the number inside the square root is a negative number, then the solution we get is known as an imaginary solution. Square root of zero is written as √0 and is equal to 0 itself. Therefore we get the square root of zero, √0 = 0.

Example 1: What is the value of the expression, √28 + √0?

Here each square root number should be simplified further.

√28 = √(2 * 2 * 7). Now pull out the number which is repeating twice inside the radical.

This gives: 28 = 2 * √7 = 2√7.

And the square root of ‘0’ is 0 ==>0 = 0.

So, √28 + √0 = 2√7+ 0 = 2√7.

Hence the value of the expression √28 + √0 = 2√7.

Example 2: What is the value of the expression, √25 - √0?

Here each square root number should be simplified further.

√25= √(5 * 5). Now pull out the number which is repeating twice inside the radical.

This gives: 25 = 5.

Now square root of ‘0’ is 0. Therefore we get ==>0 = 0.

So adding the above two answers, we get ==> √25 + √0 = 5 + 0 = 5

Hence the value of the expression √25 + √0 = 5.