×
Back to all chapters

Combine your skills of working with exponents and manipulating expressions for radical glory.

#### Challenge Quizzes

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

The value of $\sqrt{\frac{5}{72}} \left(\sqrt{\frac{9}{40}}-\sqrt{\frac{8}{45}}\right)$ can be expressed as $$\frac{1}{a}$$. What is $$a$$?

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

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

×