sqrt [ 4 + sqrt (63) / 2 ] + sqrt [ 4 - sqrt (63 /2) ]
Square this
4 + sqrt (63/2) + 2 sqrt [ 4 + sqrt (63) / 2 ] * sqrt [ 4 - sqrt (63 /2) ] + 4 - sqrt(63/2)
[ 4 + sqrt (63 / 2) + 2 sqrt [ 16 - 63 / 4 ] + 4 - sqrt (63/2) ] =
8 + 2 sqrt [( 64 - 63) / 4 ] =
8 + 2 sqrt ( 1/4) =
8 + 2 (1/2) =
9
Since both quantities under the original radical are positive, take the positive square root of 9 =
3