If a = 7 + 4√3, find the value of 3a6

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a = 7 + 4√3

∴	1	=	1
	a		7 + 4√3

=	1	×	7 − 4√3
	7 + 4√3		7 − 4√3

=	7 − 4√3	= 7 − 4√3
	49 − 48

Expression =	3a⁶ + 2a⁴ + 4a³ + 2a² + 3
	a⁴ + a³ + a²

[Dividing numerator and denominator by a³]

=	3((14)³ − 3 × 14) + 2 × 14 + 4
	14 + 1

=	3 × 2702 + 28 + 4
	15

=	8138
	15

If a = 7 + 4√3, find the value of	3a⁶ + 2a⁴ + 4a³ + 2a² + 3	.
	a⁴ + a³ + a²