Question

i need the steps of 3√75+5√48-√243

Answer 1

$\huge\mathsf{Hoy \ !!}$



$\large\mathsf\red{3 \ {\sqrt{75}} + 5 \ {\sqrt{48}} - {\sqrt{243}}}$



$\mathsf{= \ 3 × {\sqrt{3 × 5^2}} + 5 \ {\sqrt{2^4 × 3}} - {\sqrt{3^5}}}$



$\mathsf{= \ 3 × {\sqrt{3}} × {\sqrt{5^2}} + 5 × {\sqrt{2^4}} × {\sqrt{3}} - {\sqrt{3^5}}}$



$\mathsf{= \ 3 × {\sqrt{3}} × {5}^{{2}^{{\frac{1}{2}}}} + 5 × {2}^{{4}^{{\frac{1}{2}}}} × {\sqrt{3}} - {\sqrt{3}} × {3}^{{4}^{{\frac{1}{2}}}}}$



$\mathsf{= \ 3 × {\sqrt{3}} × 5 + 5 × {2}^{2} × {\sqrt{3}} - {\sqrt{3}} × {3}^{2}}$



$\mathsf{= \ 15 \ {\sqrt{3}} + 20 \ {\sqrt{3}} - 9 \ {\sqrt{3}}}$



$\mathsf{= \ {\sqrt{3}} \ ( 15 + 20 - 9 \ )}$



${\large{\boxed{\mathsf{\blue{= \ 26 \ {\sqrt{3}}}}}}}$



^^"