Question Number 107419 by DeepakMahato last updated on 10/Aug/20
$${Factorize}:−\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{2}\sqrt{\mathrm{5}}\boldsymbol{{x}}+\mathrm{3} \\ $$$$ \\ $$$$ \\ $$
Answered by nimnim last updated on 10/Aug/20
$${x}^{\mathrm{2}} −\mathrm{2}\sqrt{\mathrm{5}}{x}+\mathrm{3} \\ $$$${x}^{\mathrm{2}} −\mathrm{2}\sqrt{\mathrm{5}}{x}+\mathrm{5}−\mathrm{2} \\ $$$$\left({x}−\sqrt{\mathrm{5}}\right)^{\mathrm{2}} −\left(\sqrt{\mathrm{2}}\right)^{\mathrm{2}} \\ $$$$\left({x}−\sqrt{\mathrm{5}}−\sqrt{\mathrm{2}}\right)\left({x}−\sqrt{\mathrm{5}}+\sqrt{\mathrm{2}}\right)\bigstar \\ $$$$ \\ $$