Solution
we need to find value of $$\sqrt{-\sqrt{3}+\sqrt{3+8\sqrt{7+4\sqrt{3}}}}$$
$$\sqrt{7 + \sqrt3}$$ = $$\sqrt{2^2 + (\sqrt3)^2 + 2 \times 2 \times \sqrt3}$$ = $$2 + \sqrt3$$
$$\sqrt{3 + 4^2 + 2 \times 4 \times \sqrt3}$$ = $$4 + \sqrt3$$
$$\sqrt{-\surd3 + 4 + \surd3}$$ = 2\
hence $$\sqrt{-\sqrt{3}+\sqrt{3+8\sqrt{7+4\sqrt{3}}}}$$ = 2
Get AI Help?
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
