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Question
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.
Options
`sqrt(2)`
2
4
8
Solution
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to 2.
Explanation:
`(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12)) = (sqrt(16 xx 2) + sqrt(16 xx 3))/(sqrt(4 xx 2) + sqrt(4 xx 3))`
= `(4sqrt(2) + 4sqrt(3))/(2sqrt(2) + 2sqrt(3))`
= `(4(sqrt(2) + sqrt(3)))/(2(sqrt(2) + sqrt(3))`
= 2
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