Answer
$24 \sqrt 3 - 6 $
Work Step by Step
$\sqrt 12 + 4 \sqrt 75 - \sqrt 36 $
$\sqrt 12$ can be written as 4 x 3 because they are the factors of 12
$\sqrt 75$ can be written as 25 x 3 because they are the factors of 75
*** Square root of 36 is 6 because 6 x 6 = 36
$\sqrt (4 \times 3) + 4 \sqrt (25 \times 3) - 6 $
*** Square root of 4 is 2 because 2 x 2 =4
*** Square root of 25 is 5 because 5 x 5 = 25
$2 \sqrt ( 3) + 20 \sqrt (3) - 6 $
We see that it has the common factor of $\sqrt 3$ so we factor it out.
$\sqrt 3 ( 2 + 22) - 6 $
$\sqrt 3 ( 24) - 6 $
$24 \sqrt 3 - 6 $
