Question

Simplifyroot 32 + root 48 divided by root 8 + root 12

Answer 1

Answer:

$\frac{\sqrt32 +\sqrt{48} }{\sqrt{8} + \sqrt{12} }$ = 2

Step-by-step explanation:

$\frac{\sqrt32 +\sqrt{48} }{\sqrt{8} + \sqrt{12} }$

= $\frac{\sqrt{16(2)}+\sqrt{16(3)} }{\sqrt{4(2)}+ \sqrt{4(3)} }$

= $\frac{4\sqrt{2}+4\sqrt{3} }{2\sqrt{2} + 2\sqrt{3} }$

= $\frac{4(\sqrt{2} + \sqrt{3}) }{2(\sqrt{2}+\sqrt{3} ) }$

= $\frac{4}{2}$

= 2