How would you simplify $sqrt(12a^3b^4)$ ?

Question

1476 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-26T15:57:31

$= 2a bsqrt( 3 a b^2$

$sqrt( 12 * a^3 * b^4$

(note: $12$ is prime factorised)

$= sqrt( color(blue)(2^2) * 3 * color(blue)(a^2) * a * color(blue)(b^2) * b^2$

$= color(blue)(2* a * b) sqrt( 3 * a * b^2$

$= 2a bsqrt( 3 * a * b^2$

How would you simplify sqrt(12*a^3*b^4)sqrt(12*a^3*b^4)?