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If a<<0,b>>0,t h e nsqrt(a)sqrt(b) is eq...

If `a<<0,b>>0,t h e nsqrt(a)sqrt(b)` is equal to `-sqrt(|a|b)` b. `sqrt(|a|b)i` c. `sqrt(|a|b)` d. none of these

A

`-sqrt(|a|b)`

B

`sqrt(|a|b )` i

C

`sqrt(|a|b)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Verify by selecting particular of a and b.
Let a = - 9 and b = 4. Then
`sqrt (a)sqrt(b) = sqrt(-9)sqrt(4) = (3i)(2) = 6i`
From option (1), we have
`-sqrt(|a|b) = - sqrt(|-9| xx 4) = - sqrt(36) = - 6 `
Form option (2), we have
`sqrt(|a|b)i = sqrt(|-9| xx ) i = 6i`
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