How do you simplify #7sqrtx+3sqrty-sqrtx-3sqrty#?

2 Answers
May 16, 2018

Answer:

#6\sqrt{x}#

Explanation:

The #3\sqrt{y}-3\sqrt{y}# cancel each other out.

This leaves you: #7\sqrt{x}-\sqrt{x}#

Since they have the same variables, they can be treated as normal algebra, which gives you #6\sqrt{x}#

May 16, 2018

Answer:

#6sqrtx#

Explanation:

Add the like terms first and then simplify further.

#7sqrtx + 3sqrty - sqrtx - 3sqrty#

#7sqrtx-sqrtx+3sqrty-3sqrty#

#7sqrtx-sqrtx+cancel(3sqrty-3sqrty)#

#7sqrtx-sqrtx#

#6sqrtx#

Another way to arrive to #6sqrtx# is:

#7sqrtx-sqrtx#

#sqrtx(7 - 1)#

#sqrtx xx 6#

#6sqrtx#