Question

simplify 7sqrt3+4sqrt27-sqrt12​

Answer 1

Namaste mate! Here is your answer.

$7 \sqrt{3} + 4 \sqrt{27} - \sqrt{12} \\ = 7 \sqrt{3} + 4 \sqrt{3 \times 3 \times 3} - \sqrt{3 \times 4} \\ = 7 \sqrt{3} + 4 \times 3 \sqrt{3} - 2 \sqrt{3} \\ = 7 \sqrt{3} + 12 \sqrt{3} - 2 \sqrt{3} \\ = \sqrt{3} (7 + 12 - 2) \\ = \sqrt{3} (17) \\ = 1.73 \times 17 \\ = 29.41$