Question

simplify and find the value
...​

Answer 1

Explanation:

$\mathsf{\sqrt3=1.73205....=1.73\:(approximately)}$

$\mathsf{\sqrt{\frac{5+\sqrt3}{5-\sqrt3}}=\sqrt{\frac{(5+\sqrt3)(5+\sqrt3)}{(5-\sqrt3)(5+\sqrt3)}}}$

$\mathsf{=\sqrt{\frac{(5+\sqrt3)^2}{5^2-3^2}}}$

$\mathsf{=\frac{\sqrt{(5+\sqrt3)^2}}{\sqrt{(25-9)}}}$

$\mathsf{=\frac{5+\sqrt3}{\sqrt16}=\frac{5+\sqrt3}{4}}$

$\mathsf{=\frac{5+1.732}{4}=\frac{6.732}{4}}$ [∵$\mathsf{\sqrt3=1.732 \:approximately}$]

$\mathsf{=1.683}$ $\mathsf{=1.68 \:(approximately)}$

Answer: 1.683 or 1.68, √3 = 1.73

I hope this helps. :D

Answer 2

Answer:

This is the answer

Please mark as brainlist