contestada

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.

Respuesta :

Abu99
5√7 + 12√6 - 10√7 - 5√6
Write it like this:
(12√6 - 5√6) + (5√7 - 10√7),
as the 12 and 5 are both being multiplied by √6, they can be added or subtracted and its the same with 5 and 10, so it becomes:
7√6 - 5√7
You should leave it like this.

Step-by-step explanation:

The given expression is as follows.

   [tex]5\sqrt{7} + 12\sqrt{6} -10\sqrt{7} -5\sqrt{6}[/tex]

The terms whose variables are same are known as like terms. Therefore, combine the like terms of the given expression as follows.

    [tex](5\sqrt{7} -10\sqrt{7}) + (12\sqrt{6} -5\sqrt{6})[/tex]

   [tex]-5\sqrt{7} + 7\sqrt{6}[/tex]

Therefore, we can conclude that simplified form of expression  [tex]5\sqrt{7} + 12\sqrt{6} -10\sqrt{7} -5\sqrt{6}[/tex] is  [tex]-5\sqrt{7} + 7\sqrt{6}[/tex].