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Question
Evaluate:
`sqrt(1 4/5 xx 14 21/44 xx 2 7/55)`
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Solution
`sqrt(1 4/5 xx 14 21/44 xx 2 7/55)`
= `sqrt(9/5 xx 637/44 xx 117/55)`
= `sqrt((9 xx 637 xx 117)/(5 xx 44 xx 55)`
= `sqrt((9 xx 7 xx 7 xx 13 xx 13 xx 9)/(5 xx 11 xx 2 xx2 xx 11 xx 55)`
| 7 | 637 |
| 7 | 91 |
| 13 |
| 9 | 117 |
| 13 |
= `(9 xx 7 xx 13)/(5 xx 11 xx 2)`
= `(819)/(110)`
= `7 (49)/(110)`
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