Math, asked by Rochak67, 3 months ago

Find x if
 \sqrt[3]{x + 2}  = 3

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Answers

Answered by chavanprabhakar734
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

Answered by SugarCrash
61

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\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}} 

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