Question

Simplify the under root 3 (under root 3 plus two under root 12)
(i) /3 (/3 + 2 /12) (Answer is 15)​

Answer 1

Step-by-step explanation:

$\sqrt{3} ( \sqrt{3} + \sqrt{12} )$

$= \sqrt{3} ( \sqrt{3} + 2 \sqrt{2 \times 2 \times 3} )$

$= \sqrt{3} ( \sqrt{3} + 2 \times 2\sqrt{3} )$

$= \sqrt{3} ( \sqrt{3} +4 \sqrt{3} )$

$= \sqrt{3} \times 5 \sqrt{3}$

$= 5 \times 3$

$= 15$