Radhakrishnan was born to N. Bhaskaran Nair and K. Parukutty Amma, both practising advocates at Kollam.

[2] He completed his education from St. Joseph's Convent and Government Boys High School, Kollam, Arya Central School, Thiruvananthapuram, Trinity Lyceum and F. M. N. College, Kollam, and Kolar Gold Fields Law College, Kolar.

Later, Radhakrishnan shifted to the High Court of Kerala at Kochi where he practised in civil, constitutional, and administrative matters.

He was transferred as chief justice of Hyderabad High Court and took oath on 7 July 2018.

He was transferred as chief justice of Calcutta High Court and took oath on 7 April 2019.