Which choice is equivalent to the expression below? square root of negative 20
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Answer:
B
Step-by-step explanation:
The expression can be written as
[tex]\sqrt{-20}[/tex]
The - can be taken out from under the radicand and a 2 can be factored out of the expression to leave you with the expression
[tex]2i\sqrt{5}[/tex]
Answer:
Correct option is:
B
Step-by-step explanation:
We have to find a expression which is similar to:
[tex]\sqrt{-20}[/tex]
Now we start solving
[tex]\sqrt{-20}[/tex] could also be written as:
[tex]\sqrt{-2\times 2\times 5}[/tex]
When we take - sign out of the square root it becomes i
i.e. [tex]\sqrt{-1}=i[/tex]
And there are two 2's inside the square root when we take square root it becomes 2
Hence, [tex]\sqrt{-20}=2i\sqrt{5}[/tex]
Hence, Correct option is:
B