Question

simplify (6 + root 27) - (3 + root 3) + (1 - 2 root 3)

Answer 1

Here you go...
Hope it helps

Answer 2

$(6 + \sqrt{27}) - (3 + \sqrt{3}) + (1 - 2\sqrt{3})=4$

Step-by-step explanation:

Given : Expression $(6 + \sqrt{27}) - (3 + \sqrt{3}) + (1 - 2\sqrt{3})$

To find : Simplify the expression ?

Solution :

Expression $(6 + \sqrt{27}) - (3 + \sqrt{3}) + (1 - 2\sqrt{3})$

Solve the roots in simpler form,

$=6 + 3\sqrt{3}- 3-\sqrt{3}+1 - 2\sqrt{3}$

Solve like terms,

$=4+\sqrt{3}(3-1-2)$

$=4+\sqrt{3}(0)$

$=4$

Therefore, $(6 + \sqrt{27}) - (3 + \sqrt{3}) + (1 - 2\sqrt{3})=4$

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