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 )
=======
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
No, the square root of negative 108 is not rational. The square root of a negative number involves imaginary numbers, specifically it can be expressed as ( \sqrt{-108} = \sqrt{108}i ), where ( i ) is the imaginary unit. Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, and imaginary numbers cannot be represented in this way, the square root of negative 108 is not rational.
10.3923 is. (rounded)
The square root of 108 is not an integer - rounded to five decimal places, sqrt(108) = ±10.39230.
36
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
square root of 108 is 11.4 which is between 10 and 11
10.392304810.3923
108
No, the square root of negative 108 is not rational. The square root of a negative number involves imaginary numbers, specifically it can be expressed as ( \sqrt{-108} = \sqrt{108}i ), where ( i ) is the imaginary unit. Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, and imaginary numbers cannot be represented in this way, the square root of negative 108 is not rational.
10.3923 is. (rounded)
The square root of 108 is not an integer - rounded to five decimal places, sqrt(108) = ±10.39230.
To 3 decimal places, the answer is -3.924
√108 = √(36 X 3) = 6√3
4^3√32-3^3√108+^3√256