The value of `(sqrt(80) - sqrt(112))/ (sqrt(45) - sqrt(63))` is : Options: A . &nbsp`3/4` B . &nbsp`1 1/3` C . &nbsp`1 7/9` D . &nbsp`1 3/4`

The value of `(sqrt(80

Question

The value of `(sqrt(80) - sqrt(112))/ (sqrt(45) - sqrt(63))` is :

Options:

A . `3/4`

B . `1 1/3`

C . `1 7/9`

D . `1 3/4`

Answer: Option B

`(sqrt(80) - sqrt(112))/ (sqrt(45) - sqrt(63))` = `(sqrt(16 xx 5) - sqrt(16 xx 7))/(sqrt(9 xx 5) - sqrt(9 xx 7))`

= `(4sqrt(5) - 4sqrt(7))/(3sqrt(5) - 3sqrt(7))` = `(4(sqrt(5) - sqrt(7)))/(3(sqrt(5) - sqrt(7)))` = `4/3` = `1 1/3`

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