Question 106

Simplify:
$$\sqrt{(1057 - \sqrt{(1109 - \sqrt{(450 - \sqrt{2500})})})}$$

Solution

Expression : $$\sqrt{(1057 - \sqrt{(1109 - \sqrt{(450 - \sqrt{2500})})})}$$

= $$\sqrt{(1057 - \sqrt{(1109 - \sqrt{(450 - 50)})})}$$

= $$\sqrt{(1057 - \sqrt{(1109 - \sqrt{400})})}$$

= $$\sqrt{(1057 - \sqrt{(1109 - 20)})}$$

= $$\sqrt{(1057 - \sqrt{(1089})}$$

= $$\sqrt{1057 - 33}=\sqrt{1024}=32$$

=> Ans - (B)

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