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 . (1 point) 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

So, the simplified version is

`-5√(7)+7√(6)`

In words it can be written as minus 5 square root of 7 end root plus 7 square root of 6 end root

Explanation:

`5√(7)+12√(6)-10√(7)-5√(6)`

We need to simplify the above expression.

Combining the like terms of the above expression.

Like terms are those that have same variables.

`=(5√(7)-10√(7))+(12√(6)-5√(6))`

`=((5-10)(√(7))+((12-5)(√(6)))`

`=((-5)(√(7))+((7)(√(6)))`

So, the simplified version is

`-5√(7)+7√(6)`

In words it can be written as minus 5 square root of 7 end root plus 7 square root of 6