Question

Which choice is equivalent to the expression below?

√12-√27+√75

A.21√3
B.9√3
C.5√3
D.4√3

Answer 1

`√(12)-√(27)+√(75)=√(4\cdot3)-√(9\cdot3)+√(25\cdot3)\\\\=\sqrt4\cdot\sqrt3-\sqrt9\cdot\sqrt3+√(25)\cdot\sqrt3=2\sqrt3-3\sqrt3+5\sqrt3=4\sqrt3\\\\Answer:D.`

Answer 2

`√(12) - √(27) + √(75) = √(4*3) - √(9*3) + √(25*3) = \\\\=2√( 3) -3√( 3) + 5√( 3) = 4 \sqrt3}`


`Answer : \ \ D. \ \ 4 √(3)`