Hi,
Yes, you do. There is a calculator to help you work out the gain here:
Tax when you sell property
You can register for an online capital gains account here:
Report and pay your Capital Gains Tax
If you cannot access the internet service, please contact our Income Tax team for advice and ask for a paper form.
Income Tax: general enquiries
You will also be required to declare this disposal in Ireland and claim a foreign tax credit for the UK tax paid under the tax treaty.
Thank you.