Question

Which expression is equal to 2−√ 32 ?
8i√2

−8√2

8√2i

−8i√2

Answer 1

Answer:

A. $8i\sqrt{2}$

Step-by-step explanation:

We have been given a radical expression $2\sqrt{-32}$. We are asked to find equivalent expression to our given expression.

Using radical rule $\sqrt{-a}=\sqrt{-1}\cdot \sqrt{a}$, we can write $\sqrt{-32}$ as product of $\sqrt{-1}\cdot\sqrt{32}$.

$2\sqrt{-32}=2\cdot \sqrt{-1}\cdot\sqrt{32}$

Substitute $\sqrt{-1}=i$:

$2\sqrt{-32}=2i\cdot\sqrt{32}$

$2\sqrt{-32}=2i\cdot\sqrt{2\cdot 16}$

$2\sqrt{-32}=2i\cdot\sqrt{2\cdot 4^2}$

$2\sqrt{-32}=2*4i\cdot\sqrt{2}$

$2\sqrt{-32}=8i\sqrt{2}$

Therefore, the equivalent expression would be $8i\sqrt{2}$.

Answer 2

The expression which is equal to 2√-32 is; 8i√2

According to the question, we have been given the radical expression; 2√-32

First, the expression can be evaluated as follows;

• =2√-32

• = 2√-1 × 32

We must recall that, In complex numbers, √-1 = i.

• = 2i√32

• = 2i√16 ×2

• = 8i√2

Therefore, the expression which is equal to 2√- 32 is:. 8i√2

Read more:

https://brainly.com/question/6755932