Solve E=(2sqrt{3}-5)(4sqrt{3}+1)

$$E = ( 2 \sqrt { 3 } - 5 ) ( 4 \sqrt { 3 } + 1 )$$

Solve for E

$$E=19-18\sqrt{3}\approx -12.176914536$$

Steps for Solving Linear Equation

Apply the distributive property by multiplying each term of 2\sqrt{3}-5 by each term of 4\sqrt{3}+1.

$$E=8\left(\sqrt{3}\right)^{2}+2\sqrt{3}-20\sqrt{3}-5$$

The square of \sqrt{3} is 3.

$$E=8\times 3+2\sqrt{3}-20\sqrt{3}-5$$

Multiply 8 and 3 to get 24.

$$E=24+2\sqrt{3}-20\sqrt{3}-5$$

Combine 2\sqrt{3} and -20\sqrt{3} to get -18\sqrt{3}.

$$E=24-18\sqrt{3}-5$$

Subtract 5 from 24 to get 19.

$$E=19-18\sqrt{3}$$

Assign E

$$E≔19-18\sqrt{3}$$