<PRE><B>Question 698796</B>
 3 square roots of 54 minus 2 square roots of 24 minus 1 square root of 96 plus 4 square roots of 63.
Assume it is:
{{{3sqrt(54) - 2sqrt(24) - sqrt(96) + 4sqrt(63)}}}
See what we can factor inside the radical, to reveal some perfect squares:
{{{3sqrt(9*6) - 2sqrt(4*6) - sqrt(16*6) + 4sqrt(9*7)}}}
Extract those square roots
{{{3*3sqrt(6) - 2*2sqrt(6) - 4sqrt(6) + 4*3sqrt(7)}}}
which is
{{{9sqrt(6) - 4sqrt(6) - 4sqrt(6) + 12sqrt(7)}}}
Like terms, 9 - 4 - 4
{{{sqrt(6)+12sqrt(7)}}}, using a calc: = 34.1985


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