The greatest among the numbers $${\left( {2.89} \right)^{0.5}},$$ $$2 - {\left( {0.5} \right)^2},$$ $$1 + \frac{{0.5}}{{1 - \frac{1}{2}}},$$ $$\sqrt 3 $$ is = ?
A. $${\left( {2.89} \right)^{0.5}}$$
B. $${\text{2}} - {\left( {0.5} \right)^2}$$
C. $$1 + \frac{{0.5}}{{1 - \frac{1}{2}}}$$
D. $$\sqrt 3 $$
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & {\left( {2.89} \right)^{0.5}} = {\left( {2.89} \right)^{\frac{5}{{10}}}} \to \sqrt {2.89} \to 1.7 \cr & {\text{2}} - {\left( {0.5} \right)^2} = 2 - 0.25 \to 1.75 \cr & 1 + \frac{{0.5}}{{1 - \frac{1}{2}}} = 1 + \frac{{0.5}}{{0.5}} \to 1 + 1 \to 2 \leftarrow {\text{Greatest}} \cr & \sqrt 3 = 1.732 \cr} $$This Question Belongs to Arithmetic Ability >> Surds And Indices
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