Question

simplify:
$\sqrt[3]{3.43} \times \sqrt[3]{1.331} \times \sqrt[3]{2.744} \times \sqrt[3]{219.7}$
​

Answer 1

Answer:

14.01

Step-by-step explanation:

$\sqrt[3]{3.43} \times \sqrt[3]{1.331} \times \sqrt[3]{2.744} \times \sqrt[3]{219.7}$

Since, each of the above terms have common root, we can multiply them.

$\sqrt[3]{3.43 \times 1.331 \times 2.744 \times 219.7}$

After multiplication,

$\sqrt[3]{2,752.24023}$

Since, there is no exact value for the above expression, we will round off its value to nearest tenths.

$14.0139999919 = 14.01$

Answer 2

Answer:

$\sqrt[3]{3.43}\sqrt[3]{1.331}\sqrt[3]{2.744}\sqrt[3]{219.7}=14.014$

Step-by-step explanation:

$\sqrt[3]{3.43}\sqrt[3]{1.331}\sqrt[3]{2.744}\sqrt[3]{219.7}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[3]{a}\sqrt[3]{b}=\sqrt[3]{ab}$

$\sqrt[3]{1.331}\sqrt[3]{2.744}\sqrt[3]{3.43}\sqrt[3]{219.7}=\sqrt[3]{1.331\times \:2.744\times \:3.43\times \:219.7}$

$=\sqrt[3]{1.331\times \:2.744\times \:3.43\times \:219.7}$

$\mathrm{Multiply\:the\:numbers:}\:3.43\times \:1.331\times \:2.744\times \:219.7=2752.24023\dots$

$=\sqrt[3]{2752.24023\dots }$

$\sqrt[3]{2752.24023\dots }=14.014$

$=14.014$