algebra - Express (4\sqrt{5}-1)(\sqrt{5}+3) in the form of p+q\sqrt{5}, where p and q are integers

Ramanath Parimi (last edited 4 years ago) (Expert, Quality Engineer @Qalaxia)

Apply the distributive property

Apply the multiplication property of square roots.

Note : sqrt{ab} = sqrt{a}*sqrt{b}

Combine the terms

Simplify the terms

Find the unknowns by comparing the given answer to the result

Note: We can compare only like terms so make sure the result must be in the form of the given answer