Question

multiply √3by cube root√5​

Answer 1

Answer:

Step-by-step explanation:

sqrt(3) = 3^(1 / 2) = (3^3)^(1 / 6)

= 27^(1 / 6)

cube root of 5 = 5^(1 / 3) = (5^2)^(1 / 6)

= 25^(1 / 6)

sqrt(3) × cube root of 5 =

= 27^(1 / 6) × 25^(1 / 6)

= (27 × 25)^(1 / 6)

= 675^(1 / 6)

Answer 2

Answer:

$\sqrt{3} \times \sqrt[3]{5} \\ = {3}^{ \frac{1}{2} } \times {5}^{ \frac{1}{3} } \\ = ( {3}^{3 \times \frac{1}{3} \times \frac{1}{2} } ) \times ( {5}^{2 \times \frac{1}{2} \times \frac{1}{3} } ) \\ = {27}^{ \frac{1}{6} } \times {25}^{ \frac{1}{6} } \\ = {675}^{ \frac{1}{6} }$