Question

Root 27 + root 12 is equal to​

Answer 1

Given:

$\[\sqrt {27} + \sqrt {12} \]$

Solution:

Simplify the expression,

$\[\begin{array}{l} = \sqrt {3 \times 3 \times 3} + \sqrt {2 \times 2 \times 3} \\ = 3\sqrt 3 + 2\sqrt 3 \\ = \left( {3 + 2} \right)\sqrt 3 \\ = 5\sqrt 3 \end{array}\]$

Hence, $\[\sqrt {27} + \sqrt {12} = 5\sqrt 3 \]$