Question

what is the the value of (√13+√221)² option 30+√221,30-2√221,30-√221,30+2√221
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Answer 1

Answer:

The answer is $234+26\sqrt{17}$

Step-by-step explanation:

 $(\sqrt{13}+\sqrt{221})^2$

$=(\sqrt {13})^2+(\sqrt{221})^2+2\sqrt{13}\times \sqrt{221}\\=13+221+2\sqrt{13}\times \sqrt{13\times 17}\\=234+2(\sqrt{13})^2\times \sqrt {17}\\=234+26\sqrt{17}$