How do you simplify (sqrt 7) (sqrt14)?

2 Answers
Mar 28, 2016

(sqrt7)^2*sqrt2=7sqrt2

Explanation:

(sqrt7)(sqrt14)=(sqrt7)(sqrt(7*2))
(sqrt7)(sqrt7.sqrt2)
(sqrt7)^2*sqrt2=7sqrt2

Mar 28, 2016

rewrite sqrt14 as sqrt(7(2)

now your expression becomes:
sqrt7*sqrt(7*2)
this reduces to sqrt7*sqrt7*sqrt2

which becomes 7 sqrt2