Question

(8 multiplied by sq. root of 2) - (sq. root of 2)

pls show step by step

Answer 1

\[8\sqrt{2}-\sqrt{2}=8\sqrt{2}-1\sqrt{2}=\sqrt{2}(8-1)=(8-1)\sqrt{2}=7\sqrt{2}\]

Answer 2

nice use of the "distributive property" combined with the "commutative law"

Answer 3

although... you could have written
\[8\sqrt{2}-\sqrt{2}=8\sqrt{2}-1\sqrt{2}=(8-1)\sqrt{2}=7\sqrt{2}\]