Math, asked by ashthasinha2007, 3 months ago

(5+root3)^² is a rational number or irrational number?​

Answers

Answered by mk8471139
1

Answer:

IRRATIONAL

Step-by-step explanation:

( {5 +  \sqrt{3} )}^{2}  \\  =  {5}^{2}  +  { \sqrt{3} }^{2}  + 2 \times 5 \times  \sqrt{3}  \\  = 25 + 3 + 10 \sqrt{3}  \\  = 28 + 10 \sqrt{3}  \\ which \: is \: an \: irrational \: number

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