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Question
Evaluate `sqrt(25/32 xx 2 13/18 xx 0.25)`
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Solution
`sqrt(25/32 xx 2 13/18 xx 0.25)`
= `sqrt(25/32 xx 49/18 xx 0.25)`
= `sqrt(25/32 xx 49/18 xx 25/100)`
= `sqrt((25 xx 49 xx 25)/(32 xx 18 xx 100))`
= `sqrt((25 xx 49 xx 1)/(32 xx 18 xx 4)`
= `sqrt((5 xx 5 xx 7 xx 7)/((2 xx 2 xx 2 xx 2 xx 2) xx (2 xx 3 xx 3) xx (2 xx 2)`
= `sqrt((bar(5 xx 5) xx bar(7 xx 7))/(bar(2 xx 2) xx bar(2 xx 2) xx bar(2 xx 2) xx bar(3 xx 3) xx bar(2 xx2)`
= `(5 xx 7)/(2 xx 2 xx 2 xx 3 xx 2)`
= `(35)/(48)`
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