What is the square root of 5 times the square root of 10?

1 Answer
Alan P.
Sep 10, 2015

sqrt(5)*sqrt(10) = 5sqrt(2)
(assuming only primary roots; otherwise -5sqrt(2) is a secondary answer)

Explanation:

sqrt(5)*color(red)(sqrt(10))
color(white)("XXX")= sqrt(5)*color(red)(sqrt(5)*sqrt(2))

color(white)("XXX")= color(blue)(sqrt(5)*sqrt(5))*sqrt(2)

color(white)("XXX")=color(blue)(5)sqrt(2)

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
30381 views around the world
You can reuse this answer
Creative Commons License