Principal Square Root

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Square root is the number which when multiplied by itself gives back the number to which square root is calculated. Square root is one of the commonly used terms in numerical calculations and algebra. Principal square root is the nonnegative root of the given nonnegative real number. There is no principle square root of a negative number because the principal square root cannot be applied to imaginary number. The symbol of square root is √.

Example 1: Find the principal square root of the number 144?

Solution: Given here is to find the principal square root of the number 144.

The square root of 144 is the number when multiplied to itself gives back 144.

So, √144 = √ (4* 4* 3* 3) = √ (12 * 12) = 12 or -12.

But we need to find the principal square root of the number 144 which has to be a positive value.

Hence, the principal square root of 144 is 12.

Example 2: Find the principal square root of the number 900?

Solution: Given here is to find the principal square root of the number 900.

The square root of 900 is the number when multiplied to itself gives back 900.

So, √900 = √ (2* 2 *5* 5* 3* 3) = √ (6 * 6* 5* 5) = √ (30* 30) = 30 or -30.

But we need to find the principal square root of the number 900 which has to be a positive value.

Hence, the principal square root of 900 is 30.

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