Evaluate and Perform Operations with Higher Roots
-$$2 \sqrt [ 3 ] { 40 } + \sqrt [ 3 ] { 320 }$$
A) $8 \sqrt [ 3 ] { 5 }$
B) $2 \sqrt [ 3 ] { 360 }$
C) $3 \sqrt [ 3 ] { 360 }$
D) $6 \sqrt [ 3 ] { 5 }$

Question

Quizplus · Accepted Answer

First, simplify each term: $2 \sqrt [ 3 ] { 40 } = 2 \sqrt [ 3 ] { 8 \times 5 } = 2 \times 2 \sqrt [ 3 ] { 5 } = 4 \sqrt [ 3 ] { 5 }$. Similarly, $\sqrt [ 3 ] { 320 } = \sqrt [ 3 ] { 64 \times 5 } = 4 \sqrt [ 3 ] { 5 }$. Adding them together gives $4 \sqrt [ 3 ] { 5 } + 4 \sqrt [ 3 ] { 5 } = 8 \sqrt [ 3 ] { 5 }$.

Evaluate and Perform Operations with Higher Roots - 2403+32032 \sqrt [ 3 ] { 40 } + \sqrt [ 3 ] { 320 }2340​+3320​

Evaluate and Perform Operations with Higher Roots
- $2 \sqrt [ 3 ] { 40 } + \sqrt [ 3 ] { 320 }$