Question

$\sqrt{3}$ * $\sqrt[3]{5}$

Answer 1

Answer:

$\sqrt[6]{675}$

Step-by-step explanation:

$\sqrt{3}*\sqrt[3]{5\\} \\\\ =3^1^/^2-5^1^/^3\\\\Multiply\ \frac{1}{2} \ with\ \frac{3}{3}\ and\ \frac{1}{3} \ with\ \frac{2}{2}.$

$= 3^{ \frac{1}{2}* \frac{3}{3} } * 5^{ \frac{1}{3}* \frac{2}{2} }$

$= 3^{ \frac{3}{6} } * 5^{ \frac{2}{6} } \\\\= \sqrt[6]{ 3^{3} } * \sqrt[6]{ 5^{2} }$

$= \sqrt[6]{27} * \sqrt[6]{25} \\\\= \sqrt[6]{27*25} \\\\= \sqrt[6]{675}$