Question

Simplify the following
√48-√72-√27+2√18

Answer 1

Answer:

√3.

Step-by-step explanation:

$\sqrt{48} - \sqrt{72} - \sqrt{27} + 2 \sqrt{18} \\ \\ \bf It \: can \: be \: written \: as \\ \\ = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } - \sqrt{ {2}^{2} \times {3}^{2} \times 2 } - \sqrt{ {3}^{2} \times 3} + 2 \sqrt{ {3}^{2} \times 2 } \\ \\ = 2 \times 2 \sqrt{3} - 2 \times 3 \sqrt{2} - 3 \sqrt{3} + 2 \times 3 \sqrt{2} \\ \\ = 4 \sqrt{3} - 6 \sqrt{2} - 3 \sqrt{3} + 6 \sqrt{2} \\ \\ = \bf \sqrt{3}$