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Question
If `sqrt(2)` = 1.414, `sqrt(3)` = 1.732, `sqrt(5)` = 2.236, `sqrt(10)` = 3.162, then find the values of the following correct to 3 places of decimals.
`sqrt(40) - sqrt(20)`
Solution
`sqrt(40) - sqrt(20) = sqrt(4xx 10) - sqrt(4 xx 5)`
= `2sqrt(10) - 2sqrt(5)`
= 2 × 3.162 – 2 × 2.236
= 6.324 – 4.472
= 1.852
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