Math, asked by kunalr46, 1 year ago

simplify whole root 3 + 2 root 2

Answers

Answered by MarkAsBrainliest
805
Answer :

Now,

 \sqrt{3 + 2 \sqrt{2} }  \\  \\  \sqrt{1 + 2 \sqrt{2}  + 2}  \\  \\  =  \sqrt{ {1}^{2} + (2 \times 1 \times  \sqrt{2}) +  {( \sqrt{2} )}^{2}   }  \\  \\  =  \sqrt{ {(1 +  \sqrt{2}) }^{2} }  \\  \\  = 1 +  \sqrt{2}

#MarkAsBrainliest

kunalr46: thanks friend
Answered by abhi569
713

 \sqrt{ 3 + 2 \sqrt{2}   }  \\  \\  \sqrt{2 + 1 + 2 \sqrt{2} }  \\  \\
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By formula, (a+b)²=a²+b²+2ab
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 \sqrt{( \sqrt{2}  + 1) ^{2} }  \\  \\ ( \sqrt{2}  + 1) ^{2 \times  \frac{1}{2} }  \\  \\ ( \sqrt{2}  + 1) ^{1}  \\  \\  \sqrt{2}  + 1


I hope this will help you


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