How do you find the square root of 5 to the 3rd power?

1 Answer
Sep 10, 2015

Answer:

#(sqrt5)^3approx color(green)(11.18#

Explanation:

square root of 5 to the 3rd power can be written as
#(sqrt5)^3#

# = sqrt5*sqrt5*sqrt5#

We know that #color(blue)(sqrta*sqrta=a#

Hence # sqrt5*sqrt5*sqrt5 = 5 sqrt5#

#sqrt5 approx2.236#

So #5 sqrt5 approx 5*(2.236) approx color(green)(11.18#