Question

Which choice is equivalent to the expression below?

V-12
A. -24/5
B. 2123
C. -121
D. 231
E. 12 i

Answer 1

Given:

Consider the expression is
`√(-12)`.

To find:

The value of given expression.

Solution:

We have,

`√(-12)`

It can be written as

`√(-12)=√(-1* 12)`

`√(-12)=√(-1)* √(12)`
`[\because √(ab)=√(a)√(b)]`

`√(-12)=i* √(12)`
`[\because √(-1)=i]`

`√(-12)=√(12)i`

Therefore, the value of given expression is
`√(12)i`.

Note: all options are incorrect.