Question

which expression is equal to 2√27 A: -6√3 B: 6i√3 C: -6i√3 D: 6√3i

Answer 1

Answer:

6√3i.

Step-by-step explanation:

2√-27

= 2√9√-3

= 2*3√-3

= 6√3i.

Answer 2

The expression equal to 2√-27 is;

Option B: 6i√3

• When dealing with complex numbers which are imaginary numbers, their square root is usually a bit different from when dealing with real numbers.

• Now, in complex numbers square root is expressed as;

√-9 = 3i

This means that i² = -1

• Now, we are given; 2√-27

The internal part can be simplified as;

2√(9 × -3) = (2 × 3)√(-3)

>> 6√-3

• From earlier, we saw that;

i² = - 1

Thus;

6√-3 = 6√(-1 × 3)

>> 6√3i²

>> 6i√3

Read more at; brainly.com/question/11923802