Question

Find the value of $\sqrt[3]{3343}$ + $\sqrt[3]{3\frac{512}{125}}$

• A. 8$\frac{4}{5}$
• B. 8.6
• C. 8.5
• D. 8$\frac{3}{5}$

Answer 1

Answer: (B), (D)

8$\frac{3}{5}$

The given expression is $\sqrt[3]{3343}$ + $\sqrt[3]{3\frac{512}{125}}$

343 = $7\times 7\times 7$ = $7^3$

512 = $8\times 8\times 8$ = $8^3$

125 = $5\times 5\times 5$ = $5^3$

So, the expression can be written as

$\sqrt[3]{37^3}$ + $\sqrt[3]{3\frac{8^3}{5^3}}$

= 7 + $\frac{8}{5}$

= $\frac{7\times 5+8}{5}$

= $\frac{43}{5}$

= 8$\frac{3}{5}$ = 8.6