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Find square root of 4ab -2(a^2-b^2) sqrt...

Find square root of `4ab -2(a^2-b^2) sqrt(-1)`

Text Solution

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`4av-2(a^2-b^2)sqrt(-1)`
`=(a+b)^2-(a-b)^2-2(a^2-b^2)i`
`=(a+b)^2+(a-b)^2i^2-2(a+b)(a-b)i`
`=(a+b)-i(a-b)^2`
`:. Sqrt(4ab-2(a^2-b^2)sqrt(-1))`
`= +-[(a+b)-i(a-b)]`
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