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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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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.
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.
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
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 numbers are equivalent to square root of 5?
The square root of 5 is 2.236068
What is the square root of 16 in simplifying radicals?
The square root of 16 is 4.
How do you simplify the square root of 180?
The square root of 180 = ± 13.416408Think of simplifying as rounding. So, ± 13.416408 simplified is: ~±13.4
What is the square root of a number that has no root?
You can have an approximation of the root using the calculator (doing it by hand is another story). However, keeping the number as a square root and simplifying the root is usually acceptable.
What is the square root of 6 in simplifying radicals?
sqrt(6) cannot be simplified.
What is the square root of x plus the square root of y?
X^1/2 + Y^1/2 Essentially it is just the square root of x plus the square root of y, there's no real way of simplifying that.
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.
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.
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
What numbers are always irrational?
the square root of 3, the square root of 5, the square root of 6, the square root of 7, the square root of 8 etc
What two consecutive numbers is the square root of 29?
5.385 is the square root of 29. No consecutive numbers.
Numbers with square root that are whole numbers?
Numbers with square roots that are whole numbers
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.
