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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(300) + sqrt(90) - sqrt(8)`
Solution
`sqrt(300) + sqrt(90) - sqrt(8) = sqrt(3 xx 100) + sqrt(9 xx 10) - sqrt(4 xx 2)`
= `10sqrt(3) + 3sqrt(10) - 2sqrt(2)`
= 10 × 1.732 + 3 × 3.162 – 2 × 1.414
= 17.32 + 9.486 – 2.828
= 26.806 – 2.828
= 23.978
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