Question

multiply the radical expression. express numbers in sir
$(sqrt{v}-8)(sqrt{v}-7)=square$

Explanation:

Step1: Use FOIL method

$(\sqrt{v}-8)(\sqrt{v}-7)=\sqrt{v}\times\sqrt{v}-7\sqrt{v}-8\sqrt{v}+(-8)\times(-7)$

Step2: Simplify square - root and multiplication

$\sqrt{v}\times\sqrt{v}=v$, $(-8)\times(-7) = 56$
So we have $v-7\sqrt{v}-8\sqrt{v}+56$

Step3: Combine like terms

$v+(-7 - 8)\sqrt{v}+56=v - 15\sqrt{v}+56$

Answer:

$v - 15\sqrt{v}+56$