How do you simplify $(3 + \sqrt{6}) (5 + \sqrt{6})$ $(3 + sqrt6)(5 +sqrt6)$ ?

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Answer 1 · 2017-04-08T15:09:52

$21 + 8 \sqrt{6}$ $21 + 8 sqrt(6)$

Multiply both factors

$(3 + \sqrt{6}) (5 + \sqrt{6}) = 3 \times 5 + 3 \sqrt{6} + \sqrt{6} \times 5 + \sqrt{6} \sqrt{6}$ $(3 + sqrt(6))(5 + sqrt(6))= 3×5 + 3 sqrt(6) + sqrt(6)×5 + sqrt(6) sqrt(6)$
Multiply 3 and 5 together and combine products of same terms.

$= 15 + 3 \sqrt{6} + 5 \sqrt{6} + 6$ $= 15 + 3sqrt(6) + 5sqrt(6) + 6$
Add 15 + 6 and (3+5) $\sqrt{6}$ $sqrt(6)$

Result: $21 + 8 \sqrt{6}$ $21 + 8sqrt(6)$

How do you simplify (3+√6)(5+√6)(3 + sqrt6)(5 +sqrt6)?