Question

Find the value of
(√5-1/√5+1) +(√5+1/√5-1)

Answer 1

★ Question :

$find \:the \:value \:of \: \left( \sqrt{5} - \frac{1}{\sqrt{5}} + 1\right) + \left(\sqrt{5} + \frac{1}{\sqrt{5}} -1 \right)$

★ Solution :

by opening the brackets

$\sqrt{5} - \frac{1}{\sqrt{5}} + 1 + \sqrt{5} + \frac{1}{\sqrt{5}} -1$

$(\sqrt{5} + \sqrt{5}) + \left(\cancel{\frac{1}{\sqrt{5}}} - \cancel{\frac{1}{\sqrt{5}}}\right) + (1-1)$

$2\sqrt{5} \\ \\ \\ {\pink{\boxed{the \:value \:of \: \left( \sqrt{5} - \frac{1}{\sqrt{5}} + 1\right) + \left(\sqrt{5} + \frac{1}{\sqrt{5}} -1 \right) = 2\sqrt{5} }}}$

★ Additional Information :

Surds : A surd is an expression that includes a square root, cube root or other root symbol. Surds are used to write irrational numbers