Characteristic impedance of a quarter wave transformer connected

Characteristic impedance of a quarter wave transformer connected in between a load of 100 Ω and a transmission line of characteristic impedance 225 ohms is—

Characteristic impedance of a transformer quarter wave matching is given by as follows

z_in =	z²0
	z_L

where z_in = 225 Ω
z_L = 100 Ω
so z² = √z_L . z_in
= √225 × 100
= 150 Ω