Question

PLEASE HELP!

Determine if the statement below is true or false.
If it is false, rewrite it so it is true.

Rewriting sqrt of -10 in terms of i results in -10i​

A. This statement is true
B. This statement is false. Rewriting sqrt of -10 in terms of i results in sqrt of 10i
C. This statement is false. Rewriting sqrt of -10 in terms of i results in sqrt of -10i
D. This statement is false. Rewriting sqrt of -10 in terms of i results in 10i​

Answer 1

B

Explanation:

So we have the expression:

`√(-10)`

And we want to rewrite it in terms of i. Recall that i is:

`i=√(-1)`

Therefore, we can simplify the expression as:

`√(-10)=√(-1\cdot10)=√(-1)\cdot√(10)=i√(10)`

Therefore, the statement given is not correct.

And the correct answer is B.