Question

Find the exact value of the radical expression in simplest form.

Answer 1

\[2\sqrt{7x}+\sqrt{7x}-3\sqrt{7x}-7\]

Answer 2

In a few respects, radicals are like fractions. You can multiply any two fractions, but to add takes a common denominator. Well, you can multiply any two radicals, but to add them it requires a common radicand (part under the radical sign). You have that in this case, so you can add up the coefficients.

Answer 3

i got this for an answer \[3\sqrt{7x}\] is that right?

Answer 4

No, you have both + and - there. Add up how many are positive, then subtract out what is negative.

Answer 5

oh so it would just be

Answer 6

\[\sqrt{7x}\]

Answer 7

\[2\sqrt{7x}+\sqrt{7x}-3\sqrt{7x}-7\implies 3\sqrt{7x}-3\sqrt{7x}-7\implies -7\]

Answer 8

ooo i get it thnx!! :)

Answer 9

Yah, they canceled in this case. Hehe. Won't happen all the time.