Question

Find x if
$\sqrt[3]{x + 2} = 3$
​

Answer 1

Step-by-step explanation:

$\sqrt[3]{x + 2} = 3$

$cubing \: the \: both \: sides$

$^{(3} \sqrt[3]{x + 2)} = {3}^{3}$

$x + 2 = 27$

$x = 27 - 2$

$x = 25$

Answer 2

Answer :

$\:\:\implies\sf \underline{{\pink{x = 25}}}$

Solution :

Given :

• $\;\;\;\;\;\;\large\sf \sqrt[3]{x + 2}=3$

To Find :

• Value of x.

Let's do it,

$\;\;\;\;\;\;\large\sf \sqrt[3]{x + 2} = 3$

• Cubing both the sides ( To remove cube root ).

$\;\; \large \sf ( \sqrt[3]{x + 2} )^3 = (3)^3$

$\;\;\implies\large\sf x + 2 = 27$

• Subtracting 2 from both the sides

$\;\;\implies\sf x + \cancel{2} \:\:\:\red{\cancel{-2} }= 27 \red{-2}$

$\:\:\implies\sf \underline{\boxed{\pink{x = 25}}}$

Hence,

Value of x is 25

${\fcolorbox{red}{blue}{\orange{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: SugarCrash\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$