Algebra

Radical Expressions and Equations

Simplifying Expressions with Radicals

         

Evaluate 402+422 \sqrt{ 40 ^2 + 42 ^2}.

The value of 572(940845)\sqrt{\frac{5}{72}} \left(\sqrt{\frac{9}{40}}-\sqrt{\frac{8}{45}}\right) can be expressed as 1a\frac{1}{a}. What is aa?

Evaluate

21212121. \sqrt{2} - \frac{1}{ \sqrt{2} - \dfrac{1}{ \sqrt{2} - \dfrac{1}{\sqrt{2}-1} } }.

Evaluate

(43+7)2016(437)2016. \left( 4\sqrt{3} +7 \right)^{2016} \left( 4\sqrt{3} -7 \right)^{2016}.

What is the value of

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

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