Question

What is the simplified form of the following expression? 2 StartRoot 27 EndRoot + StartRoot 12 EndRoot minus 3 StartRoot 3 EndRoot minus 2 StartRoot 12 EndRoot StartRoot 3 EndRoot 9 StartRoot 3 EndRoot 11 StartRoot 3 EndRoot 15 StartRoot 3 EndRoot

Answer 1

Given:

The expression is:

$2\sqrt{27}+\sqrt{12}-3\sqrt{3}-2\sqrt{12}$

To find:

The simplified form of the given expression.

Solution:

We have,

$2\sqrt{27}+\sqrt{12}-3\sqrt{3}-2\sqrt{12}$

It can be written as:

$=2\sqrt{9\times 3}+\sqrt{4\times 3}-3\sqrt{3}-2\sqrt{4\times 3}$

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

$=6\sqrt{3}-\sqrt{3}-4\sqrt{3}$

$=\sqrt{3}$

Therefore, the correct option is A.

Answer 2

Answer:

a

Step-by-step explanation:

it is