Question

EXTRAER FACTORES DE ESTOS RADICALES

Answer 1

Respuesta:

a.

$\sqrt{32}\\\\\sqrt{2^2 * 2^2 * 2}\\\\\sqrt{2^2}* \sqrt{2^2}* \sqrt{2}\\\\2 * 2 * \sqrt{2}\\\\4\sqrt{2}$

b.

$\sqrt{64a^3}\\\\\sqrt{2^2 * 2^2 *2^2 * a^2 * a } \\\\\sqrt{2^2}* \sqrt{2^2}* \sqrt{2^2}* \sqrt{a^2}* \sqrt{a}\\\\2 * 2 * 2 * a * \sqrt{a}\\\\8a\sqrt{a}$

c.

$\sqrt{288n^{10}} \\\\\sqrt{2^2 * 2^2 * 3^2 * 2}*\sqrt{n^{10}} \\\\\sqrt{2^2}* \sqrt{2^2}* \sqrt{3^2}* \sqrt{2} *n^5 \\\\2 * 2 * 3 * \sqrt{2} * n^5\\\\12n^5\sqrt{2}$

d.

$\sqrt[3]{216a^{25}b^{16}}\\\\\sqrt[3]{216}* \sqrt[3]{a^{25}} * \sqrt[3]{b^{16}}\\\\\sqrt[3]{2^3 * 3^3} * \sqrt[3]{a^3 * a^3 * a^3 * a^3 * a^3 *a^3 *a^3*a^3 * a} * \sqrt[3]{b^3 * b^3 * b^3 * b^3 * b^3 * b}\\\\\sqrt[3]{2^3}* \sqrt[3]{3^3} * \sqrt[3]{a^3}\sqrt[3]{a^3} \sqrt[3]{a^3} \sqrt[3]{a^3} \sqrt[3]{a^3} \sqrt[3]{a^3} \sqrt[3]{a^3} \sqrt[3]{a^3} \sqrt[3]{a} * \sqrt[3]{b^3} \sqrt[3]{b^3} \sqrt[3]{b^3} \sqrt[3]{b^3} \sqrt[3]{b^3} \sqrt[3]{b}$

$2 * 3 * a*a*a*a*a*a*a*a*\sqrt[3]{a} * b*b*b*b*b*\sqrt[3]{b} \\\\6*a^8*\sqrt[3]{a} * b^5 * \sqrt[3]{b}\\\\6a^8b^5\sqrt[3]{ab}$

Explicación paso a paso: