Question 115

Simplify:
$$ \sqrt{(1190 - \sqrt{(1181 - \sqrt{(601 + \sqrt{576)}))}}}$$

Solution

Expression : $$ \sqrt{(1190 - \sqrt{(1181 - \sqrt{(601 + \sqrt{576)}))}}}$$

= $$ \sqrt{(1190 - \sqrt{(1181 - \sqrt{(601 + 24)})})}$$

= $$ \sqrt{(1190 - \sqrt{(1181 - \sqrt{(625)})})}$$

= $$ \sqrt{(1190 - \sqrt{(1181 - 25)})}$$

= $$ \sqrt{(1190 - \sqrt{(1156)})}$$

= $$ \sqrt{(1190 - 34)}$$

= $$ \sqrt{(1156)}=34$$

=> Ans - (B)

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