Algebra
# Radical Expressions and Equations

Evaluate $\sqrt{ 40 ^2 + 42 ^2}$.

Evaluate

$\sqrt{2} - \frac{1}{ \sqrt{2} - \dfrac{1}{ \sqrt{2} - \dfrac{1}{\sqrt{2}-1} } }.$

Evaluate

$\left( 4\sqrt{3} +7 \right)^{2016} \left( 4\sqrt{3} -7 \right)^{2016}.$

What is the value of

$\sqrt{ 24 } \times \sqrt{3} \times \sqrt{ 8 } ?$

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