Evaluate
43\sqrt{19}+264\approx 451.432654572
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12\left(\sqrt{19}\right)^{2}+27\sqrt{19}+16\sqrt{19}+36
Apply the distributive property by multiplying each term of 3\sqrt{19}+4 by each term of 4\sqrt{19}+9.
12\times 19+27\sqrt{19}+16\sqrt{19}+36
The square of \sqrt{19} is 19.
228+27\sqrt{19}+16\sqrt{19}+36
Multiply 12 and 19 to get 228.
228+43\sqrt{19}+36
Combine 27\sqrt{19} and 16\sqrt{19} to get 43\sqrt{19}.
264+43\sqrt{19}
Add 228 and 36 to get 264.
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