((1)/(3) \sqrt[3]{2.3^(2) })^(5) +\sqrt{(2)/(3) }\sqrt{(9)/(8\\) }

Question

`((1)/(3) \sqrt[3]{2.3^(2) })^(5) +\sqrt{(2)/(3) }\sqrt{(9)/(8\\) }`

Answer 1

`0.93211806`

Explanation:

`((1)/(3) \sqrt[3]{2.3^(2) })^(5) +\sqrt{(2)/(3) }\sqrt{(9)/(8\\) }=`

`=((1)/(3) \sqrt[3]{5.29})^(5) +\sqrt{(18)/(24) }}`

`=((1)/(3) * 1.74241616)^(5) +\sqrt{(3)/(4) }}`

`=(0.58080539)^(5) +0.86602540`

`=0.06609265 +0.86602540`

`=0.93211806`