Three frames πΉ0, πΉ1 and πΉ2 are in relative motion. The frame πΉ0 is at rest, πΉ1 is moving with velocity π£1πΜwith respect to πΉ0 and πΉ2 is moving with velocity π£2πΜ with respect to πΉ1. A particle is moving with velocity π£3πΜ with respect to πΉ2. If π£1 = π£2 = π£3= \(\frac{π}{2}\), where π is the speed of light, the speed of the particle with respect to πΉ0 is ππ. The value of π is ____________ (rounded off to two decimal places)