Explain the error in Julie’s work in rewriting the radical expression.

-6

Step-by-step explanation:

First, let's take a look at this property:

This only works for a and b ≥ 0.

As for a & b < 0 which results in Imaginary Number, we have to convert in 'i' form.

We know that:-

Thus:

Then we can multiply 12 & 3 in square root.

We know that:

Convert i^2 to -1

Then evaluate √36 which is 6.

Therefore the answer should be -6.

Conclusion

Julie cannot use the √a√b = √ab property first because a & b both are < 0 and the property applies for a ≥ 0, b ≥ 0.

(x+3)(x+7)

step-by-step explanation: