Question

Simplify. 225+25 (2) -

Answer 1

Solution:-

Given that,

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

Let's simplify the above expression

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

Removing parentheses:

• 

Therefore,

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

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

Adding similar elements:

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

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

Applying radical rule:

• $\sqrt{a}\sqrt{b} = \sqrt{a\times b}$

Hence,

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

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

$\boldsymbol{\sqrt{3}+2\sqrt{6}}$

Hence,

$2\sqrt{3}+2\sqrt{3}(\sqrt{2})-\sqrt{3} = \boldsymbol{\sqrt{3}+2\sqrt{6}}\; \; \; \; \; (Answer)$