\[3\sqrt{27}-2\sqrt{3}(4\sqrt{3}-5\sqrt{12})\]
1
Simplify  27\sqrt{27}  to  333\sqrt{3}.
3×33−23(43−512)3\times 3\sqrt{3}-2\sqrt{3}(4\sqrt{3}-5\sqrt{12})

2
Simplify  12\sqrt{12}  to  232\sqrt{3}.
3×33−23(43−5×23)3\times 3\sqrt{3}-2\sqrt{3}(4\sqrt{3}-5\times 2\sqrt{3})

3
Simplify  5×235\times 2\sqrt{3}  to  10310\sqrt{3}.
3×33−23(43−103)3\times 3\sqrt{3}-2\sqrt{3}(4\sqrt{3}-10\sqrt{3})

4
Simplify  43−1034\sqrt{3}-10\sqrt{3}  to  −63-6\sqrt{3}.
3×33−23×−633\times 3\sqrt{3}-2\sqrt{3}\times -6\sqrt{3}

5
Simplify  3×333\times 3\sqrt{3}  to  939\sqrt{3}.
93−23×−639\sqrt{3}-2\sqrt{3}\times -6\sqrt{3}

6
Simplify  23×−632\sqrt{3}\times -6\sqrt{3}  to  −2×63×3-2\times 6\sqrt{3\times 3}.
93−(−2×63×3)9\sqrt{3}-(-2\times 6\sqrt{3\times 3})

7
Simplify  3×33\times 3  to  99.
93−(−2×69)9\sqrt{3}-(-2\times 6\sqrt{9})

8
Since 3×3=93\times 3=9, the square root of 99 is 33.
93−(−2×6×3)9\sqrt{3}-(-2\times 6\times 3)

9
Simplify  −2×6-2\times 6  to  −12-12.
93−(−12×3)9\sqrt{3}-(-12\times 3)

10
Simplify  −12×3-12\times 3  to  −36-36.
93−(−36)9\sqrt{3}-(-36)

11
Remove parentheses.
93+369\sqrt{3}+36

Done

Decimal Form: 51.588457
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