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प्रश्न
If `sqrt(0.04 xx 0.4 xx a ) = 0.4 xx0.04 xx sqrtb` then find the ratio `a/b`.
उत्तर
`sqrt(0.04 xx 0.4 xx a) = 0.4 xx0.04 xx sqrtb`
Squaring both sides,
`(sqrt(0.04 xx 0.4 xx a))^2 = (0.4 xx0.04 xx sqrtb)^2`
∴ `0.04 xx 0.4 xx a = 0.4^2 xx0.04^2 xx sqrtb^2`
∴ `0.04 xx 0.4 xx a = 0.4^2 xx0.04^2 xx b`
∴ `a/b = (0.4 xx 0.4 xx 0.04 xx 0.04)/(0.04 xx 0.4)`
∴ `a/b = 0.4 xx 0.04`
= `4/10 xx 4/100`
= `2/5 xx 1/25`
= `a/b = 2/125`
`therefore` a : b = 2 : 125
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