How would you simplify 5 * sqrt3 + sqrt 27?

May 9, 2018

$5 \cdot \setminus \sqrt{3} + \setminus \sqrt{27} =$

Explanation:

$5 \cdot \setminus \sqrt{3} + \setminus \sqrt{27} =$
$= 5 \cdot \setminus \sqrt{3} + \setminus \sqrt{3 \cdot 9} =$
$= 5 \cdot \setminus \sqrt{3} + \setminus \sqrt{3 \cdot {3}^{2}} =$
$= 5 \cdot \setminus \sqrt{3} + 3 \setminus \sqrt{3} =$
$= 8 \cdot \setminus \sqrt{3}$

May 9, 2018

$8 \sqrt{3}$

Explanation:

As per the given question, we have

$5 \cdot \sqrt{3} + \sqrt{27}$

$= 5 \sqrt{3} + \sqrt{9 \times 3}$

$= 5 \sqrt{3} + \sqrt{9} \times \sqrt{3}$

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

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

$= 8 \sqrt{3}$