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

Answer:

So, the simplified version is

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

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

Step-by-step explanation:

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

We need to simplify the above expression.

Combining the like terms of the above expression.

Like terms are those that have same variables.

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

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

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

So, the simplified version is

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

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