Question

simplify √24+√72/√3.√8​

Answer 1

$\green\implies$1+√3

Explanation-

Given-

$\frac{ \sqrt{24} + \sqrt{72} }{ \sqrt{3} . \sqrt{8} }$

$\red\implies$$\frac{ \sqrt{24} + \sqrt{24 \times 3} }{ \sqrt{3 \times 8} }$

$\red\implies$$\frac{ \sqrt{24} + \sqrt{3} .\sqrt{24} }{ \sqrt{24} }$

$\red\implies$$\frac{ \cancel{\sqrt{24}} (1 + \sqrt{3} )}{ \cancel{\sqrt{24} }}$

$\red\implies$$1 + \sqrt{3}$