Question

$$6+ \sqrt{ 3 \sqrt{ 6 \sqrt{ 7 } } } +$$

Answer

7+sqrt(3*sqrt(6*sqrt(7)))

Solution


Collect like terms.
\[6+\sqrt{3\sqrt{6\sqrt{7}}}+1\]
Collect like terms.
\[(6+1)+\sqrt{3\sqrt{6\sqrt{7}}}\]
Simplify.
\[7+\sqrt{3\sqrt{6\sqrt{7}}}\]

Decimal Form: 10.457289