Biot-Savart Law & Circular Coils question from JEE Main 2024 (31 Jan, Shift 2)

Two circular coils $P$ and $Q$ of 100 turns each have same radius of $\pi\text{ cm}$. The currents in $P$ and $Q$ are $1\text{ A}$ and $2\text{ A}$ respectively. $P$ and $Q$ are placed with their planes mutually perpendicular with their centers coincide. The resultant magnetic field induction at the center of the coils is $\sqrt{x}\text{ mT}$, where $x =$ __________.

[Use $\mu_0 = 4\pi \times 10^{-7}\text{ T m A}^{-1}$ ]