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Answers
Answer:
Solution to this question has three answers
Sqrt ( x + y ) = Sqrt ( x ) + Sqrt ( y )
Case (1) : when both x & y are zero
Sqrt ( 0+0 ) = Sqrt ( 0 ) + Sqrt ( 0 )
Sqrt ( 0 ) = Sqrt ( 0 ) + Sqrt ( 0 )
☆ 0 = 0 (correct)
Case (2) : when anyone of x , y is zero
Let x=0 & y = b (any natural number)
Sqrt ( 0+b ) = Sqrt ( 0 ) + Sqrt ( b )
Sqrt ( b ) = Sqrt ( 0 ) + Sqrt ( b )
☆ Sqrt ( b ) =Sqrt ( b ) (correct)
Let y=0 & x = a (any natural number)
Sqrt ( a+0 ) = Sqrt ( a ) + Sqrt ( 0 )
Sqrt ( a ) = Sqrt ( a ) + Sqrt ( 0 )
☆ Sqrt ( a ) =Sqrt ( a ) (correct)
Case (3) : when both x & y are not zero
Let x=a=16 & y = b=9 (any natural number)
Sqrt ( a+b ) = Sqrt ( a ) + Sqrt ( b )
Sqrt ( 16+9 ) = Sqrt ( 16 ) + Sqrt ( 9 )
Sqrt ( 25 ) = Sqrt ( 16 ) + Sqrt ( 9 )
5 = 4 + 3
Answer:
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