How do you evaluate $2\sqrt { 15} ( 3+ \sqrt { 5} )?$

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Answer 1 · 2017-05-05T06:07:18

$2sqrt(15)(3+sqrt(5)) = 6sqrt(15)+2sqrt(75)$
$=6sqrt(5\times 3)+2sqrt(25\times 3)$
$= 6sqrt(5)sqrt(3)+10sqrt(3)$
$=sqrt(3)(6sqrt(5)+10)$

Now substitute values for $sqrt(5)$ and $sqrt(3)$ .
$= 1.732(6\times2.236+10)$
$=1.732\times23.416$
$=40.556$ upto 3rd decimal precision

How do you evaluate 2\sqrt { 15} ( 3+ \sqrt { 5} )?2\sqrt { 15} ( 3+ \sqrt { 5} )?