a^1/2+b^1/2 +c^1/2=0. Then the value of (a+ b +c)^2=

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Solution

if a^1/2+b^1/2 +c^1/2=0
all three values are positive because under-root can never be negative. Their sum is zero, it is only possible when all the values are zero.
So a=b=c=0.
Hence, (a+b+c)^2 =0

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a^1/2+b^1/2 +c^1/2=0. Then the value of (a+ b +c)^2=

if a^1/2+b^1/2 +c^1/2=0 all three values are positive because under-root can never be negative. Their sum is zero, it is only possible when all the values are zero. So a=b=c=0. Hence, (a+b+c)^2 =0

if a^1/2+b^1/2 +c^1/2=0
all three values are positive because under-root can never be negative. Their sum is zero, it is only possible when all the values are zero.
So a=b=c=0.
Hence, (a+b+c)^2 =0