Question

The value of (3 + \sqrt5)^{2} \times (3 - \sqrt5)^{2 is?
$(3 + \sqrt5)^{2} \times (3 - \sqrt5)^{2}$
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Answer 1

Answer:

16

Step-by-step explanation:

${(3 + \sqrt{5} )}^{2} {(3 - \sqrt{5}) }^{2}$

$= (9 + 6 \sqrt{5 } + 5)(9 - 6 \sqrt{5} + 5)$

$= (14 + 6 \sqrt{5} )(14 - 6 \sqrt{5} )$

$= 196 - 180 = 16$

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