Question

`x^(2) =81`

Answer 1

`{ \red{ \boxed{ \pink{ \sf{x = 9}}}}}`

Explanation:

Here, the question is,

`{ \green{ \sf{ {x}^(2) = 81}}}`

Apply square root on both the sides then,

`{ \green{ \sf{ \cancel { √(x) }^( \cancel2)}}} \: = { \green{ \sf{ √(81)}}}`

Now,

`{ \green{ \sf{x = √(81)}}}`

We got √81 as answer but what is the perfect square number of 81? That is 9. Same number when multiplied twice to get the resultant number makes a perfect square number. i.e. 9×9 = 81. So, the answer is

`{ \green{ \boxed{ \red{ \tt{x = 9}}}}}`

Answer 2

x = ± 9

Explanation:

x² = 81 ( take square root of both sides )

x = ±
`√(81)` = ± 9