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.

Answer 1

Step-by-step explanation:

The given expression is as follows.

   $5\sqrt{7} + 12\sqrt{6} -10\sqrt{7} -5\sqrt{6}$

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

    $(5\sqrt{7} -10\sqrt{7}) + (12\sqrt{6} -5\sqrt{6})$

   $-5\sqrt{7} + 7\sqrt{6}$

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

Answer 2

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.