Question

please solve this question ​

Answer 1

Answer:

2 √3-5√2+√3+2√2

3√3-3√2

3(√3-√2)

Answer 2

Answer:  The required answer is $3\sqrt3-3\sqrt2.$

Step-by-step explanation:  We are given to add the following two expressions :

$E_1=2\sqrt3-5\sqrt2,\\\\E_2=\sqrt3+2\sqrt2.$

we will be using the following properties of addition and subtraction :

$(a+b\sqrt c)\pm(d+e\sqrt c)=(a\pm d)+(b\pm e)\sqrt c.$

The addition of the given two expressions is as follows :

$E_1+E_2\\\\=(2\sqrt3-5\sqrt2)+(\sqrt3+2\sqrt2)\\\\=(2+1)\sqrt3+(-5+2)\sqrt2\\\\=3\sqrt3-3\sqrt2.$

Thus, the required answer is $3\sqrt3-3\sqrt2.$