Question

The value of 3√216-3√125 is....

Answer 1

Step-by-step explanation:

$= \sqrt[3]{216} - \sqrt[3]{125} \\ = \sqrt[3]{ {6}^{3} } - \sqrt[3]{ {5}^{3} } \\ = 6 - 5 \\ = 1$

Answer 2

$\displaystyle \sf{ \sqrt[3]{216} - \sqrt[3]{125} } = 1$

Given :

$\displaystyle \sf{ \sqrt[3]{216} - \sqrt[3]{125} }$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ \sqrt[3]{216} - \sqrt[3]{125} }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ \sqrt[3]{216} - \sqrt[3]{125} }$

$\displaystyle \sf{ = \sqrt[3]{2 \times 2 \times 2 \times 3 \times 3 \times 3} - \sqrt[3]{5 \times 5 \times 5} }$

$\displaystyle \sf{ = \sqrt[3]{ {2}^{3} \times {3}^{3} } - \sqrt[3]{ {5}^{3} } }$

$\displaystyle \sf{ = (2 \times 3) - 5 }$

$\displaystyle \sf{ = 6 - 5 }$

$\displaystyle \sf{ = 1 }$

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