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Question
Simplify:
`(sqrt0.2304+sqrt0.1764)/(sqrt0.2304-sqrt0.1764)`
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Solution
We have:
`sqrt0.2304=sqrt(2304/10000)`
=`sqrt(2xx2xx2xx2xx2xx2xx2xx2xx3xx3)/100`
=`(2xx2xx2xx2xx3)/100`
=0.48
`sqrt0.1764=sqrt(1764/10000)`
=`sqrt(2xx2xx3xx3xx7xx7)/100`
=`(2xx3xx7)/100`
=`0.42`
`(sqrt0.2304+sqrt0.1764)/(sqrt0.2304-sqrt0.1764)=(0.48+0.42)/(0.48-0.42)=0.9/0.06=15`
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