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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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