How do you simplify sqrt(5/(32y^10))532y10?

1 Answer
Apr 5, 2018

sqrt (10y^10)/(8y^10)10y108y10

Explanation:

sqrt(5/(32y^10)532y10

:.=sqrt(5)/sqrt(32y^10)

:.=sqrt(5)/sqrt(2*2*2*2*2y^10)

sqrt2*sqrt2=2

:.=sqrt 5/(4 sqrt (2 y^10))

:.=sqrt 5/(4 sqrt (2 y^10))xx(4 sqrt (2 y^10))/(4 sqrt (2 y^10))

sqrt (2 y^10)*sqrt (2 y^10)=2y^10

:.=(cancel4^1sqrt (10y^10))/(cancel16^4xx2y^10)

:.=(sqrt (10y^10))/(8y^10)