Question

Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of 6.

5 square root of 14 end root minus 7 square root of 12
5 square root of 7 end root minus 7 square root of 6
7 square root of 12 end root minus 5 square root of 14
7 square root of 6 end root minus 5 square root of 7

Answer 1

D 7 square root of 6 end root minus 5 square root of 7

Answer 2

`5 √(7) + 12 √(6) -10 √(7) - 5 √(6)`

Think of square roots of the same numbers as being like terms.

Think of

5x + 12y - 10x - 5y =

= 5x - 10x + 12y - 5y

= -5x + 7y

Think of sqrt(7) as x, and sqrt(6) as y.


`5 √(7) + 12 √(6) -10 √(7) - 5 √(6) =`


`=5 √(7) -10 √(7) + 12 √(6) - 5 √(6)`


`=-5 √(7) + 7 √(6)`


`= 7 √(6) - 5 √(7)`