Question

The approximate value of the square root of 285 = .

• A. 15
• B. 16
• C. 17
• D. 18

Answer 1

The correct option is C 17

${15}^2$ = 225 ,
${16}^2$ = 256 ,
${17}^2$ = 289 ,
${18}^2$ = 324 .

Hence, by observation, we can say that ${16}^2$ < 285 < ${17}^2$.
Since 285 is much closer to 289
( i.e ${17}^2$ ) , so , $\sqrt{285}$ $\approx$ 17.