sqrt(108)
factor under the radical
sqrt(32 * 12)
again
sqrt(32 * 22 * 3)
Now, since you are under the radical and 3 and 2 are squared both 3 and 2 can come out in a multiplicative fashion.
3* 2sqrt(3)
= 6sqrt(3) ( same answer as sqrt(108), just factored )
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A square root is simplified when: -The radicand has no perfect square factors other than 1 -The radicand has no fractions -There are no square roots in the denominator *Radicand: the number and/or variables underneath the square root sign
19.052558883257650228801909756565
10.3923 is. (rounded)
The square root of 108 is not an integer - rounded to five decimal places, sqrt(108) = ±10.39230.
4^3√32-3^3√108+^3√256