(6+27)-(3+3)+(1-23) when simplified is: - Vidyadip

MCQ

$(6+\sqrt{27})-(3+\sqrt{3})+(1-2\sqrt{3})$ when simplified is:

A
Positive and irrational.
B
Negative and irrational.
C
Negative and rational.
✓
Positive and rational.

✓

Answer

Correct option: D.

Positive and rational.

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

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