181k views
2 votes
Simplify sqrt-12/sqrt6.

A. 2i
B. sqrt2i
C. 1/sqrt2
D. (sqrt means square root)

1 Answer

5 votes

Final answer:

To simplify the expression √-12/√6, rewrite the square root of -12 as √(-1) * √12 and simplify the square roots separately. Then simplify the denominator by multiplying the square root of 6 by itself. Finally, combine the simplified numerator and denominator to get the answer.

Step-by-step explanation:

To simplify the expression √-12/√6, we can start by simplifying the square roots separately. The square root of -12 can be written as √(-1) * √12. Since the square root of -1 is represented as 'i' and the square root of 12 can be simplified to 2√3, the expression becomes i * 2√3 / √6.

Next, we can simplify the denominator by multiplying the square root of 6 by itself, resulting in 6.

Combining the simplified numerator and denominator, we have i * 2√3 / √6 = 2i√3 / 6 = √3 / 3 = Option C. 1/√2.

User Jorge Campos
by
8.3k points

Related questions

2 answers
5 votes
1.9k views
asked Dec 3, 2022 201k views
Mlimb asked Dec 3, 2022
by Mlimb
8.0k points
1 answer
2 votes
201k views
asked Nov 8, 2023 155k views
Raindog asked Nov 8, 2023
by Raindog
7.6k points
1 answer
17 votes
155k views