Square Root of 0

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Square root of a number or an expression is represented by the square root radical sign written as ‘√’. A number written inside the square root radical can be ‘0’ or can be any positive integer if the output answer is supposed to be a real number. But if a negative number is written inside the square root radical sign, then it becomes an imaginary number. Square root of 0 can also be expressed as √0 and the value of square root of 0 is ‘0’ itself.

Example 1: Find the simplified form of the expression, √32 + √0.

Here each square root radical can be simplified further.

In order to simplify 32, we split the number into its prime factors.

√32= √( 2* 2* 2* 2* 2). Now pull out the number which is repeating twice inside the radical.

This gives: √32= 2* 2* √2 =4√2.

And now, √0 = 0.

Hence we get: √32 + √0 = 4√2 + 0 = 4√2.

Hence the simplified form of the expression √32 + √0 is 4√2.
 
Example 2: Find the simplified form of the expression, √28 - √0.

Here each square root radical can be simplified further.

In order to simplify 28, we split the number into its prime factors.

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

This gives: √28= 2* √7 =2√7.

And now, √0 = 0.

Hence we get: 2√7 - √0 = 2√7 - 0 = 2√7.

Hence the simplified form of the expression √28 - √0 is 2√7.
 

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