Question

Add 5√3-2√7 and 2√3+√5​

Answer 1

$\rule{300}{1.05}$

Answer:

$\left(5\sqrt{3}-2\sqrt{7}\right)+\left(2\sqrt{3}+\sqrt{5}\right)=7\sqrt{3}-2\sqrt{7}+\sqrt{5}\quad \left(\mathrm{Decimal:\quad }\:9.06892\dots \right)$

Step-by-step explanation:

$\rule{300}{1.05}$

$\left(5\sqrt{3}-2\sqrt{7}\right)+\left(2\sqrt{3}+\sqrt{5}\right)$

$\rule{300}{1.05}$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=5\sqrt{3}-2\sqrt{7}+2\sqrt{3}+\sqrt{5}$

$\rule{300}{1.05}$

$\mathrm{Add\:similar\:elements:}\:5\sqrt{3}+2\sqrt{3}=7\sqrt{3}$

$=7\sqrt{3}-2\sqrt{7}+\sqrt{5}$

$\rule{300}{1.05}$

Answer 2

Step-by-step explanation:

(5√3-2√7)+(2√3+√5)

5√3-2√7+2√3+√5

• 7√3-2√7+√5