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note- instead of symbol 'root' the word root will be used.
root 10 = root 2 x 5
root 20 = root 4 x 5 = root 4 x root 5 = 2root5
root 40 = root 4 x 10 = root 4 x root 10 = 2root10
similarly, -root80 = root 5 x root 16 = -4root5
As all the surds have been simplified now just substitute the values of root 5 and 10. we obtain,
15 / 3.162 + 2 x 2.236 + 2 x 3.162 - 2.236 - 4 x 2.236 = 15/2.778 = 5.40
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