Question

√3(2√3+√12) expand and simplify it

Answer 1

$\sqrt{3} (2 \sqrt{3} + \sqrt{12} ) \\ \\ = > ( \sqrt{3} \times 2 \times \sqrt{3} ) + ( \sqrt{3} \times \sqrt{12} ) \\ \\ => (2 \times 3) + ( \sqrt{3} \times \sqrt{3} \times \sqrt{4} ) \\ \\ => 6 + (3 \times 2) \\ \\ => 6 + 6 \\ \\ = > 12$

Answer 2

Hello dear,

$\sqrt{3} (2 \sqrt{ 3} + 12 ) \\ \\ = \sqrt{3} \times (2 \sqrt{3} ) + \sqrt{3 } \times( \sqrt{12} ) \\ \\ we \: \: can \: \: write \: \: \sqrt{12} = \sqrt{3} \times \sqrt{4} \\ \\ = ( \sqrt{3} \times 2 \times \sqrt{3} ) + ( \sqrt{3} \times \sqrt{3} \times \sqrt{4} ) \\ \\ =( 3 \times 2) + (3 \times 2) \\ \\ = 6 + 6 \\ \\ = 12$


Hope it helps.