how to acquire the simplest form of this radical expression: $$3sqrt<3>2a - 6sqrt<3>2a$$

Here is my work:$$3sqrt<3>2a - 6sqrt<3>2a$$Since the radicands are the same, we just include the coefficients. $$-3sqrt<3>2a sqrt<3>2a$$Since every little thing is under the very same index the becomes:$$-3sqrt<3>2 sqrt<3>a$$

Did I perform this correctly, if not deserve to anyone phone call me what I must do?Thanks :-).

You are watching: What is the simplest form of the expression sqrt 3-sqrt 6/sqrt 3+sqrt 6



We have the right to factor, together an alternative, to acquire the very same result:

$$3sqrt<3>2a - 6sqrt<3>2a = 3sqrt<3>2a(1 - 2) = -3sqrt<3>2a$$

(I don"t see any type of need come write: $;-3sqrt<3>2a = -3sqrt<3>2 sqrt<3>a)$

Note that $-3sqrt<3>2asqrt<3>2a = -3sqrt<3>4a^2 eq -3sqrt<3>2a $



Your center step is incorrect, it have to be $-3sqrt<3>2a$ no $-3sqrt<3>2asqrt<3>2a$. It should be $$3sqrt<3>2a - 6sqrt<3>2a = 3 imessqrt<3>2a - 6 imessqrt<3>2a = (3 - 6) imessqrt<3>2a = -3 imessqrt<3>2a = -3sqrt<3>2a.$$ ns don"t think $-3sqrt<3>2sqrt<3>a$ is any kind of simpler 보다 $-3sqrt<3>2a$, but that"s just my opinion.


Thanks because that contributing response to Stack Exchange!

Please be sure to answer the question. Administer details and share your research!

But avoid

Asking because that help, clarification, or responding to other answers.Making statements based on opinion; back them up with references or personal experience.

Use aramuseum.orgJax to style equations. aramuseum.orgJax reference.

See more: Meaning Of Ho, What Does Ho Mean In Chinese Last Name Facts, Ho Chinese Last Name Facts

To discover more, check out our tips on writing good answers.

post Your prize Discard

By clicking “Post your Answer”, girlfriend agree to our regards to service, privacy policy and also cookie policy

Not the answer you're feather for? Browse other questions tagged algebra-precalculus radicals or ask your very own question.

site architecture / logo © 2021 stack Exchange Inc; user contributions licensed under cc by-sa. Rev2021.11.9.40695

her privacy

By click “Accept all cookies”, girlfriend agree stack Exchange have the right to store cookie on your device and disclose details in accordance through our Cookie Policy.