Cosmological inflation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1354" altimg="si9.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Q</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity

We study the cosmological inflation within context of f(Q, T) gravity, wherein Q is nonmetricity scalar and T trace matter energy-momentum tensor. By choosing a linear combination T, we first analyze realization an inflationary scenario driven via geometrical effects gravity then, obtain modified slow-roll parameters, tensor spectral indices, tensor-to-scalar ratio for proposed model. In addition, by three potentials, i.e. power-law, hyperbolic natural applying approximations, calculate these observables in presence inflaton field. The results indicate that properly restricting free model provides appropriate predictions are consistent with observational data obtained from Planck 2018. Also, specify contribution potentials can impose different restrictions on parameters potentials. Furthermore, this good agreement joint Planck, BK15 BAO data, justifying use gravity.