Liczba [latex] frac{ 5^{3}*25 }{ sqrt{5} } [/latex] jest równa A. [latex] 5^{5} sqrt{5} [/latex] B. [latex] 5^{4} sqrt{5} [/latex] C. [latex] 5^{3} sqrt{5} [/latex] D. [latex] 5^{6} sqrt{5} [/latex] Poproszę z wyjaśnieniem

[latex]frac{5^3cdot25}{sqrt{5}}=frac{5^3cdot5^2}{sqrt{5}}=frac{5^5cdotsqrt{5}}{sqrt{5}cdotsqrt{5}}=frac{5^5cdotsqrt{5}}{5}=5^4cdotsqrt{5}[/latex] Czyli odpowiedź B.

[latex]frac{5^{3}cdot 25}{sqrt{5}}=frac{5^{3}cdot5^{2}}{sqrt{5}} = frac{5^{5}}{sqrt{5}}cdotfrac{sqrt{5}}{sqrt{5}}=frac{5^{5}cdsotsqrt{5}}{5}=frac{5cdot5^{4}sqrt{5}}{5} = 5^{4}sqrt{5}\\Odp. B.[/latex]