Dear Scholar

No. It is not impossible with the REAL & EXACT Pi Value.

The present 2000 year old polygon based so called pi number ; 3.1415926....is NOT PI NUMBER. ( for example all birds can not cross ocean although they appear same . Only one bird Arctic Tern can cross a ocean So, Real Pi is an Arctic Tern ).

Further real Pi is an ALGEBRAIC Number.

Hence, we can get the square root of Pi.

Pi is a geometrical constant. Its official value is 3.14159265358… March 1998 discovery says Pi value is 3.14644660941…. With the official number square root of Pi and squaring of circle are impossible. With 3.14644660941… root Pi is possible and squaring a circle is also possible and done in this paper.