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Question
Simplify the following:
`3/sqrt(8) + 1/sqrt(2)`
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Solution
`3/sqrt(8) + 1/sqrt(2) = 3/sqrt(2 xx 2 xx 2) + 1/sqrt(2)`
= `3/(2sqrt(2)) + 1/sqrt(2)`
= `(3 + 2)/(2sqrt(2)`
= `5/(2sqrt(2)) xx sqrt(2)/sqrt(2)` ...[Multiplying numerator and denominator by `sqrt(2)`]
= `(5sqrt(2))/(2 xx 2)`
= `(5sqrt(2))/4`
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