If (x + 1)^2 − (x − 1)^2 = 32, what is the value of x?

The value of (\sqrt{5}+\sqrt{2} )(\sqrt{5}-\sqrt{2} )

The value of (3+\sqrt{3} )(3-\sqrt{3} )

Find the value of the nested square roots

\sqrt{2+\sqrt{3}}\cdot\sqrt{2+\sqrt{2+\sqrt{3}}}\cdot\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}}\cdot\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}

Prove that

\dfrac{1}{1+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+\dfrac{1}{\sqrt{4}+\sqrt{5}}+\dfrac{1}{\sqrt{5}+\sqrt{6}}+\dfrac{1}{\sqrt{6}+\sqrt{7}}+\dfrac{1}{\sqrt{7}+\sqrt{8}}+\dfrac{1}{\sqrt{8}+\sqrt{9}}=2

3 Methods of Proof of the Difference of Squares Formula

Determine the value of \dfrac{ 2007²}{(2007＋1)×(2007－1) ＋1}