Question

∛3375-" align="absmiddle" class="latex-formula">=?

Answer 1

Answer:

1

Step-by-step explanation:

$\sqrt[3]{3375} - \sqrt[4]{38416}$

Calculate the cube root

$\sqrt[3]{ {15}^{3} } - \sqrt[4]{38416}$

Calculate the root

$\sqrt[3]{ {15}^{3} } - \sqrt[4]{ {14}^{4} }$

${15}^{ \frac{3}{3} } - {14}^{ \frac{4}{4} }$

$15 - 14$

Subtract the numbers

$1$

Hope this helps...

Answer 2

Answer:

1

Step-by-step explanation:

=> $\sqrt[3]{3375} - \sqrt[4]{38416}$

Factorizing 3375 gives 15 * 15 * 15 which equals 15^3 and factorizing 38416 gives 14 * 14 * 14 * 14 which equals 14^4

=> $\sqrt[3]{15^3} - \sqrt[4]{14^4}$

=> 15 - 14

=> 1