## anonymous one year ago Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11 A. negative 33 square root of 9 B. negative 11 square root of 9 C. negative 9 square root of 11 D. negative 9 square root of 33

1. anonymous

$5\sqrt{11} - 12\sqrt{11} - 2\sqrt{11}$

2. marihelenh

Because they all have the same square roots, they are like terms, so you can subtract them all together.

3. mathstudent55

Let's say a positive number of dollars is money you have, and a negative number of dollars is money you owe. What is $5 - 12$ - $2 = ? 4. anonymous -9 5. marihelenh Yep, and then the square root stays the same because they are like terms. 6. mathstudent55 Correct. You'd have -$9 It's the same with x and with $$\sqrt{11}$$ Since you are combining a number of the same things, in this case all terms have $$\sqrt {11}$$, just combine the coefficients and then write $$\sqrt{11}$$ at the end. $5 -$12 - $2 = -$9 5x - 12x - 2x = -9x Similarly: $$5\sqrt{11} - 12\sqrt{11} - 2\sqrt{11} = -9\sqrt {11}$$

7. anonymous

Thank you very much sir!

8. mathstudent55

You're welcome.

9. anonymous

Can you help me with 1 more?