Final answer:
To rewrite 3 - 4 square root -45 as a complex number in standard form a + bi, we can first simplify the square root to 3i√5. Then, we can rewrite the complex number as 3 - 4i√5.
Step-by-step explanation:
To rewrite 3 - 4 square root -45 as a complex number in standard form a + bi, we can first simplify the square root:
√-45 = √(9 × -5) = √9 × √-5 = 3i√5
Now, we can rewrite the complex number:
3 - 4i√5