How do you find the square root of 189?

1 Answer
George C.
Jul 19, 2015

sqrt(189) = sqrt(3^2*21) = 3sqrt(21)

Explanation:

If a, b >= 0 then sqrt(ab) = sqrt(a)sqrt(b)

So:

sqrt(189) = sqrt(9*21) = sqrt(3^2*21) = sqrt(3^2)sqrt(21) = 3sqrt(21)

This cannot be simplified further since 21 has no square factors larger than 1

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
9336 views around the world
You can reuse this answer
Creative Commons License