Math, asked by mctravelandtours, 1 year ago


-(4-√5)^2 simplify

Answers

Answered by Thegreatsk
0

Answer:

-21 + 8√5

Step-by-step explanation:

=> -(4-√5)^2

using identity (a-b)^2 = a^2 + b^2 -2ab

=> -{4^2 + (√5)^2 - 2(4)(√5) }

=> -(16 + 5 - 8√5 )

=> -(21 - 8√5 )

=> -21 + 8√5

Answered by BrainlyConqueror0901
80

Answer:

\huge{\boxed{\boxed{\sf{-3.18}}}}

Step-by-step explanation:

\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}

 = ) - (4 -   \sqrt{5} )^{2}  \\ = )( x - y)^{2}  =  {x}^{2}  +  {y}^{2}  - 2xy \\  = ) - ( {4}^{2}  +  \sqrt{5}^{2}  - 2 \times 4 \times  \sqrt{5} ) \\ = )  - ( 16 + 5 - 8 \sqrt{5} ) \\ = )  - (21 - 8 \sqrt{5} ) \\   = )- 21 + 8 \sqrt{5}  \\   = )- 21 + 8 \times 2.23 \\  = ) - 21 + 17.84 \\  = ) - 3.18

\huge{\boxed{\boxed{\sf{-3.18}}}}

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