find the simplified product: $2sqrt{5x^{3}}left(-3sqrt{10x^{2}}\right)$\n- $-30sqrt{2x^{5}}$\n…

find the simplified product: $2sqrt{5x^{3}}left(-3sqrt{10x^{2}}\right)$\n- $-30sqrt{2x^{5}}$\n- $-30x^{2}sqrt{2x}$\n- $-12x^{2}sqrt{5x}$\n- $-6sqrt{50x^{5}}$\ndone

find the simplified product: $2sqrt{5x^{3}}left(-3sqrt{10x^{2}}\right)$\n- $-30sqrt{2x^{5}}$\n- $-30x^{2}sqrt{2x}$\n- $-12x^{2}sqrt{5x}$\n- $-6sqrt{50x^{5}}$\ndone

Answer

Explanation:

Step1: Multiply the coefficients

$2\times(-3)= - 6$

Step2: Multiply the square - root parts

$\sqrt{5x^{3}}\times\sqrt{10x^{2}}=\sqrt{5x^{3}\times10x^{2}}=\sqrt{50x^{5}}$

Step3: Combine the results

$-6\times\sqrt{50x^{5}}=-6\sqrt{25\times2\times x^{4}\times x}=-6\times5x^{2}\sqrt{2x}=-30x^{2}\sqrt{2x}$

Answer:

$-30x^{2}\sqrt{2x}$