Simplify 5 √(11) - 12 √(11) - 2 √(11) a) - 33 √(9)b)- 11 √(9)c)- 9 √(11)d) - 9 √(33)

Question

Simplify
`5 √(11) - 12 √(11) - 2 √(11)` a)
`- 33 √(9)`b)
`- 11 √(9)`c)
`- 9 √(11)`d)
`- 9 √(33)`

Answer 1

In the given equation, the radical term is same in each term(radical is the being the square root of 11)

5sqrt(11)-12sqrt(11)-2sqrt(11)

Take the sqrt(11) common

sqrt(11){5-12-2}

sqrt(11){5-14}

sqrt(11){-9}

{-9}sqrt(11)

The correct answer is (c). -9Sqrt(11)