Square Root of 9

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Square root of a number is represented by a square root radical sign ‘√’. The square root of a number can be calculated by simplifying the radical by writing the number’s prime factors. In order to find the square root of 9, we split 9 into its prime factors which is 3 * 3. Hence √9 = √(3 * 3) = 3. ‘9’ is called as the perfect square since its square root gives a perfect number instead of a radical or decimal number.

Example 1: What is the value of the expression, √16 + √9?

Here each square root radical should be simplified further.

√16= √(2 * 2 * 2 * 2). Now pull out the number which is repeating twice inside the radical.

This gives: 16= 2 * 2 = 4

And 9 = 3.

So, √16 + √9 = 4 + 3 = 7.

Hence the simplified form of the expression √16 + √9 is = 7.
 
Example 2: What is the value of the expression, √25 - √9?

Here each square root radical should be simplified further.

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

This gives: 25 = 5

And 9 = 3.

So, √25 + √9 = 5 - 3 = 2.

Hence the simplified form of the expression √25 - √9 is = 2.
 
 
 
 
 

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