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If the number under the radical sign has a factor which is a square number greater than 1, then the square root of that number can be taken outside the radical.

For example,

sqrt(75) = sqrt(25*3) = sqrt(25)*sqrt(3) = 5*sqrt(3).

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Q: Simplifying square root numbers
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Continue Learning about Other Math

How is the process of adding and subtracting radicals similar to that of simplifying expressions with variables?

he process of adding and subtracting radicals is similar to that of simplifying expressions with variables because they both involve like terms. For example: if you have 2 square root of 2 + 2 square root of 4, you would first simplify the the square root of 4 to get 2. Next, you would add the numbers outside of the square roots to get 4. Finally, you combine the square roots, but leave the final square root to 2 to get the final answer of 4 square root of 2. An example for simplifying variables is: x^2 + x^8. For this, you would add 2 and 8 to get 10. Then, you would combine the two variables to get x. Finally, the final answer would be x10.


Which of these numbers is classified as a rational number square root 17 square root 23 square root 9 square root 2?

square root of 9 = 3 but 2, 17 and 23 are irrational numbers


Can the square root of x be added to the square root of 3x?

No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.


How can there be a square root of a negative number?

Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.


What is the square root of 1256?

The square root is 35.44, but that has more numbers trailing.