emilynavery2116
emilynavery2116 emilynavery2116
  • 19-07-2020
  • Mathematics
contestada

given that a is inequal to b, is it ever possible to have square root of a + square root of b = square root a+b

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unicorn3125
unicorn3125 unicorn3125
  • 19-07-2020

Answer:

             Yes, but only if a=0 or b=0

Step-by-step explanation:

[tex](a+b)^2=a^2+b^2\\\\a^2+2ab+b^2=a^2+b^2\\\\2ab=0\quad\iff\quad a=0\ \ or\ \ b=0[/tex]

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maziquea5
maziquea5 maziquea5
  • 08-01-2021

Answer:

Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands. If either a or b equals zero, then the sums would be the same. Since the square root of 0 is 0, adding it to a given radical. Also, adding zero to the radicand would not change the value

Step-by-step explanation:

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