How do you multiply $(5 + 2 \sqrt{6}) (2 + \sqrt{6})$ $(5+2sqrt6)(2+sqrt6)$ ?

Question

How do you multiply $(5 + 2 \sqrt{6}) (2 + \sqrt{6})$ $(5+2sqrt6)(2+sqrt6)$ ?

1 Answer

Impact of this question

1576 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-07T12:04:45

In general
$(a + b) \cdot (c + d) = (a + b) c + (a + b) d$ $(a+b)*(c+d) = (a+b)c + (a+b)d$

So we can re-write
$(5 + 2 \sqrt{6}) (2 + \sqrt{6})$ $(5+2sqrt(6))(2+sqrt(6))$
as
$(5 + 2 \sqrt{6}) (2) + (5 + \sqrt{6}) (\sqrt{6})$ $(5+2sqrt(6))(2) + (5+sqrt(6))(sqrt(6))$

$= (10 + 4 \sqrt{6}) + (5 \sqrt{6} + 6)$ $= (10 + 4sqrt(6)) + (5sqrt(6) + 6)$

$= 16 + 9 \sqrt{6}$ $= 16 + 9sqrt(6)$

Science

Math

Humanities

... and beyond

How do you multiply $(5 + 2 \sqrt{6}) (2 + \sqrt{6})$ $(5+2sqrt6)(2+sqrt6)$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you multiply (5+2sqrt6)(2+sqrt6)(5+2√6)(2+√6)(5+2sqrt6)(2+sqrt6)?

1 Answer

Related questions

Impact of this question

How do you multiply $(5 + 2 \sqrt{6}) (2 + \sqrt{6})$ $(5+2sqrt6)(2+sqrt6)$ ?