How do you simplify #sqrt(7497)#?

1 Answer
Feb 10, 2016

Answer:

#sqrt(7497) = 21 sqrt(17)#

Explanation:

Try and factorize #7497#:

#7497 = 9 * 49 * 17 = 3^2 * 7^2 * 17#

Thus,

#sqrt(7497) = sqrt(3^2 * 7^2 * 17) = sqrt(3^2) * sqrt(7^2) * sqrt(17) = 3 * 7 * sqrt(17) = 21sqrt(17)#