Question

square root of 7-30√-2​

Answer 1

Answer:

Let x= sqrt (7–30 sqrt (-2))

x = sqrt (7 - 2sqrt(450 i^2))

{Factorised 450 such that difference is 7}

{25 & -18}

x = sqrt (25) +/- sqrt (-18)

x= 5 + 3 i sqrt 2 or x = 5 - 3 i sqrt 2

Answer 2

See the photo attached for solution