Question 12

What is the value of $$\sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{250+\sqrt{36}}}}}?$$

Solution
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$$\sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{250+\sqrt{36}}}}}$$
=$$\sqrt{4600+\sqrt{540+\sqrt{1280+\sqrt{256}}}}$$
=$$\sqrt{4600+\sqrt{540+\sqrt{1296}}}$$
=$$\sqrt{4600+\sqrt{576}}$$
=$$\sqrt{4624}$$
=68

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