Question

simplify:
$(\sqrt{3} + \sqrt{11})^{2} (\sqrt{3} + \sqrt{11})^{2}$
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Answer 1

1. (√3 + √11)² (√3 + √11)²

= (a+b)² = a² + 2ab + b²

a) = (√3 + √11)² = (√3)² + 2 x √3 x √11 + (√11)²

= 3 + 2√33 + 11

= 14 + 2√33

b) = (√3 + √11)² = (√3)² + 2 x √3 x √11 + (√11)²

= 3 + 2√33 + 11

= 14 + 2√33

Therefore = (√3 + √11)² (√3 + √11)²

= (14 + 2√33) (14 + 2√33)

= (14 + 2√33)²

Hope it will help you ^_^

But i think your question is (√3 + √11)² (√3 - √11)²

If it is here is the answer =

2. (√3 + √11)² (√3 - √11)²

= (a+b)² = a² + 2ab + b²

= a) = (√3 + √11)² = (√3)² + 2 x √3 x √11 + (√11)²

= 3 + 2√33 + 11

= 14 + 2√33

=(a-b)² = a² - 2ab + b²

b) = (√3 - √11)² = (√3)² + 2 x √3 x √11 + (√11)²

= 3 - 2√33 + 11

= -8 + 2√33

Therefore (√3 + √11)² (√3 - √11)²

= (14 + 2√33 ) (-8 + 2√33)

= -112 + (2√33)²

I hope the 2nd answer is correct hope it will help you ^_^