CEMC Cayley

Algebra Difficulty 2.0 Junior Find the answer

Evaluate the expression $\sqrt{13+\sqrt{7+\sqrt{4}}}$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

We evaluate from the inside towards the outside: $\sqrt{13+\sqrt{7+\sqrt{4}}}=\sqrt{13+\sqrt{7+2}}=\sqrt{13+\sqrt{9}}=\sqrt{13+3}=\sqrt{16}=4$ .

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