Question

simplify the following root 5+ root 3/ root 80+ root 48- root 45 - root 27​

Answer 1

Answer:

1

Step-by-step explanation:

Given expression,

$\frac{\sqrt{5}+\sqrt{3}}{\sqrt{80}+\sqrt{48}-\sqrt{45}-\sqrt{27}}$

$=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{16\times 5}+\sqrt{16\times 3}-\sqrt{9\times 5}-\sqrt{9\times 3}}$

$=\frac{\sqrt{5}+\sqrt{3}}{4\sqrt{5}+4\sqrt{3}-3\sqrt{5}-3\sqrt{3}}$

$(\because \sqrt{a\times b}=\sqrt{a}\times \sqrt{b})$

$=\frac{\sqrt{5}+\sqrt{3}}{4(\sqrt{5}+\sqrt{3})-3(\sqrt{5}+\sqrt{3})}$

$=\frac{\sqrt{5}+\sqrt{3}}{(\sqrt{5}+\sqrt{3})(4-3)}$

$=1$

Answer 2

Answer:

1

Hope this will help u.......