Exercise
$\left(\sqrt{3+\sqrt{5}}-\sqrt{3-\sqrt{5}}\right)^2$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the expression with radicals ((3+5^(1/2))^(1/2)-(3-*5^(1/2))^(1/2))^2. Expand \left(\sqrt{3+\sqrt{5}}-\sqrt{3-\sqrt{5}}\right)^2. Add the values 3 and 3. Cancel like terms \sqrt{5} and -\sqrt{5}. Apply the property of power of a product in reverse: a^n\cdot b^n=(a\cdot b)^n.
Simplify the expression with radicals ((3+5^(1/2))^(1/2)-(3-*5^(1/2))^(1/2))^2
Final answer to the exercise
$2$