How do I get from the two values in the penciled square box?
A Aboostani New member Joined Jun 20, 2024 Messages 1 Jun 20, 2024 #1 How do I get from the two values in the penciled square box?
Steven G Elite Member Joined Dec 30, 2014 Messages 14,598 Jun 20, 2024 #2 Maybe this is what you are asking about: How to go from 4x⋅2+x 4\sqrt{x}\cdot\sqrt{2 + \sqrt{x}}\;4x⋅2+x to 4x(2+x)\;4\sqrt{x(2+\sqrt{x})}4x(2+x). This is a property of square roots: X⋅Y=X⋅Y\sqrt{X} \cdot \sqrt{Y} = \sqrt{X \cdot Y}X⋅Y=X⋅Y as long as X and Y are both positive.
Maybe this is what you are asking about: How to go from 4x⋅2+x 4\sqrt{x}\cdot\sqrt{2 + \sqrt{x}}\;4x⋅2+x to 4x(2+x)\;4\sqrt{x(2+\sqrt{x})}4x(2+x). This is a property of square roots: X⋅Y=X⋅Y\sqrt{X} \cdot \sqrt{Y} = \sqrt{X \cdot Y}X⋅Y=X⋅Y as long as X and Y are both positive.
