By how much does `sqrt(12) + sqrt(18)` exceed `sqrt(3) + sqrt(2)` ? Options: A . &nbsp`sqrt(2) - 4sqrt(3)` B . &nbsp`sqrt(3) + 2sqrt(2)` C . &nbsp`2(sqrt(3) - sqrt(2))` D . &nbsp`3(sqrt(3) + sqrt(2))`

By how much does `sqrt

Question

By how much does `sqrt(12) + sqrt(18)` exceed `sqrt(3) + sqrt(2)` ?

Options:

A . `sqrt(2) - 4sqrt(3)`

B . `sqrt(3) + 2sqrt(2)`

C . `2(sqrt(3) - sqrt(2))`

D . `3(sqrt(3) + sqrt(2))`

Answer: Option B

`(sqrt(12) + sqrt(18)) - (sqrt(3) + sqrt(2))` = `(sqrt(4xx3) +sqrt(9xx2)) - (sqrt(3) + sqrt(2))`

`(2sqrt(3) + 3sqrt(2)) - (sqrt(3) +sqrt(2))` = `(2sqrt(3) - sqrt(3)) + (3sqrt(2) - sqrt(2))`

= `sqrt(3) + 2sqrt(2)`.

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