Question

Evaluate cube root of 1512 divided by cube root of 2401

Answer 1

Answer:

$\frac{\sqrt[3]{1512}}{\sqrt[3]{2401}}=\frac{6}{7}$

Step-by-step explanation:

$\sqrt[3]{1512}$

$=\sqrt[3]{3*504}$

$=\sqrt[3]{3*3*168}$

$=\sqrt[3]{3*3*3*56}$

$=\sqrt[3]{3^3*7*2^3}$

$\sqrt[3]{2401}$

$=\sqrt[3]{7*343}$

$=\sqrt[3]{7*7^3}$

Now,

$\frac{\sqrt[3]{1512}}{\sqrt[3]{2401}}$

$=\sqrt[3]{\frac{1512}{2401}}$

$=\sqrt[3]{\frac{3^3*7*2^3}{7*7^3}}$

$=\sqrt[3]{\frac{3^3*2^3}{7^3}}$

$=\frac{3*2}{7}$

$=\frac{6}{7}$

$\frac{\sqrt[3]{1512}}{\sqrt[3]{2401}}=\frac{6}{7}$

Answer 2

Step-by-step explanation:

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