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A physical quantity x is calculated from...

A physical quantity x is calculated from the relation `x = a^(3)b^(2)//sqrt(cd)`. Calculate percentage error in x, if a, b, c and d are measured respectively with an error of 1 %, 3 %, 4% and 2%.

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The correct Answer is:
`pm 12% `
`x = (a^(3) b^(2))/( sqrt(cd))`
`(Delta x)/(x) = 3 (Delta a)/(a) + 2 (Delta b)/(b) + (1)/(2) (Delta c)/(c ) + (1)/(2) (Delta d)/(d)`
`(Delta x)/(x) xx 100 = 3 xx 1 + 2 xx 3 + 4 xx 1//2 + 2 xx 1//2`
`" " = 12% `
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