SOLUTION: can you please help me perform the indicated multiplication and then simplify? {{{sqrt7}}}(2{{{sqrt3}}}+3{{{sqrt7}}}

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Question 77899: can you please help me perform the indicated multiplication and then simplify?
sqrt7(2sqrt3+3sqrt7
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

sqrt+%287%29 (2 +sqrt+%283%29+ + 3 +sqrt+%287%29+)

This cna be written as:


+2+%2A+sqrt+%287%29+%2A+sqrt%283%29+ + +3+%2A+sqrt+%287%29+%2A+sqrt%287%29+


+2+%2A+sqrt%2821%29+ + 3+%2A+7+


+2+%2A+sqrt%2821%29+%2B+21+


We know that 21 can be written as: +sqrt%2821%29+%2A+sqrt%2821%29+

==> +2+%2A+sqrt%2821%29+%2B+sqrt%2821%29+%2A+sqrt%2821%29+

Taking sqrt(21) as a common factor, we get:

sqrt+%2821%29+%2A+%282+%2B+sqrt%2821%29%29

Hence, the solution.