I am conservator and guardian for my mother with dementia, she is now in a memory care facility can I sell her home or do I need to motion the court?

In some states your attorney must obtain the Court's prior permission, submitting a contract of sale and comps and appearing at a hearing, and the closing must be into escrow for a certain period in order to permit others to object that it was not conducted at arm's  length before the judge can sign a decree of sale and keys and cash can be disbursed.  Contact the attorney who represented you in applying for conservatorship.