Answer: The correct options are,
Square root of -4 = 2i
Square root of -49 = 7i
Step-by-step explanation:
∵ [tex]\sqrt{-4}=\sqrt{4(-1)} = \sqrt{4i^2}= \sqrt{(2i)^2}= 2i[/tex]
( Since, i² = - 1 )
Similarly,
[tex]\sqrt{-49}=\sqrt{49(-1)} = \sqrt{49i^2}= \sqrt{(7i)^2}= 7i[/tex]
[tex]\sqrt{-25}=\sqrt{25(-1)} = \sqrt{25i^2}= \sqrt{(5i)^2}= 5i[/tex]
Also,
[tex]-\sqrt{36}=-\sqrt{6^2}=-6[/tex]
[tex]-\sqrt{81}=-\sqrt{9^2} = -9[/tex]
[tex]-\sqrt{100}=-\sqrt{10^2}=-10[/tex]
