Respuesta :

yageez
You can just google what the square root of those numbers are

Answer:   12i*sqrt(2)

where i = sqrt(-1)

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Explanation:

The goal is to find the largest perfect square factor so we can then use the rules shown below

  • sqrt(xy) = sqrt(x)*sqrt(y)
  • sqrt(x^2) = x where x is nonnegative

So we have these steps

sqrt(-288) = sqrt(-1*144*2)

sqrt(-288) = sqrt(-1)*sqrt(144)*sqrt(2) .... use rule 1 above

sqrt(-288) = i*12*sqrt(2) ... use rule 2 and i = sqrt(-1)

sqrt(-288) = 12i*sqrt(2)

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