Question

On adding 2 root 3 and 3 root 2 we get

Answer 1

We need to recall the following properties of a square root.

• $\sqrt{a} \sqrt{b} =\sqrt{ab}$
• $a=\sqrt{a} \sqrt{a}=\sqrt{a^2}$

Given:

$2\sqrt{3} +3\sqrt{2}$

Using the properties of a square root, we get

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

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

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

$2\sqrt{3} +3\sqrt{2}=\sqrt{6}(\sqrt{2}+\sqrt{3} )$