Question

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

Answer 1

\[5\sqrt{11} - 12\sqrt{11} - 2\sqrt{11}\]

Answer 2

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

Answer 3

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 = ?

Answer 4

-9

Answer 5

Yep, and then the square root stays the same because they are like terms.

Answer 6

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:

\(5\sqrt{11} - 12\sqrt{11} - 2\sqrt{11} = -9\sqrt {11}\)

Answer 7

Thank you very much sir!

Answer 8

You're welcome.

Answer 9

Can you help me with 1 more?