How do you simplify sqrt324?

1 Answer
Feb 21, 2016

sqrt(324)=18

color(brown)("Have a look at how I used the Factor Tree to help arrive at an answer")color(brown)("without using a calculator.")

Explanation:

Lets see if we can split 324 into a product of squared primes:

Consider the Factor Tree:

color(blue)("If the sum of the digits is divisible by 3 then the whole is divisible by 3")

Tony BTony B

From this we have 2^2xx3^2xx3^2" " =" " 4xx9^2" "=" "324

So write " "sqrt(324)" as " sqrt(2^2xx3^2xx3^2)

Giving:" " 2xx3xx3" "=" "18