Question

add 2√2+5√3 and √2-3√3​

Answer 1

Answer:

2√2+ 5√3+√2-3√3

(2√2+1√2)+(5√3-3√3)

3√2+2√3

Answer 2

Answer:

$\sf \color{green} = 5 \sqrt{2} + 2 \sqrt{3}$

Step-by-step explanation:

$\sf \: 2 \sqrt{2} + 5 \sqrt{3} + \sqrt{2} - 3 \sqrt{3}$

$\sf = \bigg(2 \sqrt{2} + \sqrt{2} \bigg) + \bigg(5 \sqrt{3} - 3 \sqrt{3} \bigg)$

$\sf = \: \sqrt{2} \bigg (2 + 1 \bigg) + \sqrt{3} \bigg(5 - 3 \bigg)$

$\sf = 5 \sqrt{3} + 2 \sqrt{3} \: \: \: \: \: \: \: \: \: \: \tt \: answer \:$