Question

Add 2√2+5√13 and√2-3√3​

Answer 1

Answer:

8√3

Step-by-step explanation:

2√2 + 5√13 + √2-3√3

7√15+√2-3√3

7√17-3√3

4√12

4√2x2x3

4x2√3

8√3

Answer 2

following are the step for getting the answer:

Given:

$2\sqrt{2} +5\sqrt{13} \\\\\sqrt{2} -3\sqrt{3}$

To find :

Addition of $2\sqrt{2} +5\sqrt{13}, \sqrt{2} -3\sqrt{3}$

Solution:

we have to add the $2\sqrt{2} +5\sqrt{13} ,\sqrt{2} -3\sqrt{3}$

we will write this$2\sqrt{2} +5\sqrt{13}+\sqrt{2} -3\sqrt{3}$

add the term which has same square root,

$=2\sqrt{2} +5\sqrt{13}+\sqrt{2} -3\sqrt{3}\\\\=2\sqrt{2}+\sqrt{2} +5\sqrt{13} -3\sqrt{3}\\\\\\=3\sqrt{2} +5\sqrt{13} -3\sqrt{3}$

thus, the addition of $2\sqrt{2} +5\sqrt{13} ,\sqrt{2} -3\sqrt{3}$ is $3\sqrt{2} +5\sqrt{13} -3\sqrt{3}$