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)`

Answer 1

`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