Math, asked by dixit242, 1 year ago

factorise
x ^{2}  - (1 +  \sqrt{2} )x +  \sqrt{2}

Answers

Answered by aadi93
12
HEY HERE IS YOUR ANSWER☺☺☺

 {x}^{2}  - (1 +  \sqrt{2} ) x+    \sqrt{2}   \\  \\  {x}^{2}  - x -  \sqrt{2} x +  \sqrt{2}  \\  \\ ( {x}^{2}  - x) + ( -  \sqrt{2} x +  \sqrt{2} ) \\  \\ x(x - 1) -  \sqrt{2} (x - 1) \\  \\ (x - 1)(x -  \sqrt{2} )

We have factorised in the identity (x +a) (x+b) =x^2 + (a+b)x + ab

HOPE IT HELPS ☺☺☺
PLEASE MARK AS BRAINLIEST
#Aadi 93

ArchitectSethRollins: good
Answered by Anonymous
3
!! Hey Mate !!

Your answer is --

we have ,

 {x}^{2}  - (1 +  \sqrt{2} )x +  \sqrt{2}  \\  \\  =  {x}^{2}  - x -  \sqrt{2} x +  \sqrt{2}  \\  \\  = x(x - 1) -  \sqrt{2} (x - 1) \\  \\  = (x - 1)(x -  \sqrt{2} )


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【 Hope it helps you 】
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ArchitectSethRollins: nice
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