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Square Root Property Calculator - Online Calculator - Tutorpace

# Square Root Property Calculator

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Square Root Property Calculator is used to calculate square root that is a number which when multiplied by itself gives a real non-negative number called a square. These properties are:
√x.√y =√xy ; √(x+y) ≠√x+√y; √(x/y)=√x/√y ; a√x + b√y = (a+b)√x ;
a√x - b√y = (a-b)√x ; a√x=√(a2.x)

Example 1: Find the square root of the following

√y4, (4x2)1/2, √(3x2 + 6x2)

Square root of a number is the length of the diagonal of a square. The solution to the problems will be

1.      √y4 = √(y . y . y . y) = √(y2 . y2) = y2

2.      (4x2)1/2 ; Here the power ½ indicates square root of that number, therefore
√(4x2) =  √(2.2)(x.x) = 2x

3.      √(3x2 + 6x2) = √(9x2) = √(3.3)(x.x) = 3x

Example 2: Find the square root of the following

√y16, (9x4)1/2, √(3x2 +6x2+7x2)

Square root of a number is the length of the diagonal of a square. The solution to the problems will be

1.      √y16 = √(y2 . y2 . y2 . y2) = √(y4 . y4) = y4

2.      (9x4)1/2 ; Here the power ½ indicates square root of that number, therefore
√(9x4) =  √(3.3)(x2.x2) = 3x2

3.      √(3x2 + 6x2 +7x2) = √(16x2) = √(4.4)(x.x) = 4x