jee-main 2020 Q52

jee-main · India · session2_02sep_shift2 Complex Numbers Arithmetic Identifying Real/Imaginary Parts or Components
The imaginary part of $( 3 + 2 \sqrt { - 54 } ) ^ { \frac { 1 } { 2 } } - ( 3 - 2 \sqrt { - 54 } ) ^ { \frac { 1 } { 2 } }$, can be
(1) $- \sqrt { 6 }$
(2) $- 2 \sqrt { 6 }$
(3) 6
(4) $\sqrt { 6 }$
The imaginary part of $( 3 + 2 \sqrt { - 54 } ) ^ { \frac { 1 } { 2 } } - ( 3 - 2 \sqrt { - 54 } ) ^ { \frac { 1 } { 2 } }$, can be\\
(1) $- \sqrt { 6 }$\\
(2) $- 2 \sqrt { 6 }$\\
(3) 6\\
(4) $\sqrt { 6 }$