0
Restricting the discussion to real numbers for now. In this case, the square root is only defined for non-negative numbers; the principal square root of a positive number is the POSITIVE square root. For example, both +5 and -5 are square roots of 25, since both - when squared - give you 25. But the positive square root (+5) is called the principal square root, and if you write the square root symbol, that's the number usually meant.
Still curious? Ask our experts.
Chat with our AI personalities
Ross
Devin
CoachThat depends upon the value of X. The square root of any number (X) is a factor of that number that, when multiplied by itself, yields the number. For example, 3 is a factor of 9 that when multiplied by itself (3 x 3) yields 9. We say, therefore, that the square root of 9 is 3.
Add your answer:
Earn +20 pts
Square root of 98x- square root of -147x square root of 12x?
There is no answer to this problem unless x is 0. For the suare root of 98x to be a real number, x has to be positive or zero. For the square root of -147x to be a real number, x has to be negative or zero. Seeing has x has to fit both requirements, the problem has an answer only if x is zero.
What is the limit as x approaches infinity of the square root of x?
What is the limit as x approaches infinity of the square root of x? Ans: As x approaches infinity, root x approaches infinity - because rootx increases as x does.
When is the Square root of x greater than x?
when x is a negative number --- is a wrong answer since square root of a negative number is not defined. So x has to be zero or a positive number. The correct answer is that when x lies between 0 and 1 (with both limits excluded), its square root is greater than the number itself. Of course at both limits, the square root (assuming the positive square root - since a square root of a number can be positive or negative, both with the same absolute value) is the same as the number.
Simplify x divided by the square root of x?
To simplify x divided by the square root of x, we can rewrite the square root of x as x^(1/2). Dividing x by x^(1/2) is equivalent to multiplying x by x^(-1/2), which simplifies to x^(1-1/2). Therefore, x divided by the square root of x simplifies to x^(1/2), which is the square root of x.
What is the square root of 6 the Square root of 6 to infinity?
The square root of 6 is an irrational number, approximately equal to 2.44948974278. When you take the square root of 6 and continue to do so to infinity, the number will not converge to a specific value but will approach the square root of 6. This means that as you take the square root of the result repeatedly, the number will get closer and closer to approximately 2.44948974278 but will never exactly reach it.
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.
Is the square root of x and the square root of NEGATIVE x both rational and irrational?
Yes, because when x equals 1, the square root of x is rational and the square root of -x is irrational, and when x equals -1, the square root of x is irrational and the square root of -x is rational.
What is the square root of the fifth root of x?
The square root of the fifth root of x is the tenth root of x.
The square root of 3y divided by the square root of x?
The fraction must be rationalized. Since it is the square root of x in the denominator, you are going to multiply the numerator and denominator by the square root of x. For simplicity of the problem, root will take the place of the symbol for square root: root(3y)/root(x) root(3y)*root(x)/root(x)*root(x) root(3xy)/x The simplified answer is going to be the square root of 3xy divided by x. Hope that helped.
What is 8 divided by square root 2?
4
Square root of 4x plus the square root of x?
square root of 4x is 2 times square root of x, so answer is square root of x times 3 since it is 2 square roots of x plus one of them
What is the square root of 5square root of 5 square root of 5 and so on?
It seems to be 25. Call your number "x". x = 5 square root of (5 square root of (5 ...) Square it; this will eliminate the outermost square root sign: x squared = 25 times 5 square root of (5 square root of (... Dividing the second equation by the first one, you get: x squared / x = 25 x / x x = 25
What is the simplified square root of 56?
Square root of 56 = Square root of (4 x 14) = (Square root of 4) x (Square root of 14) = 2 x (Square root of 14) The actual value would be 2 x 3.741 = 7.482
What is the square root of x times the square root of 2x?
Its the square root of 2 times x Ambiguous. More clear is x times square root of 2
Formula for square root?
Square root of x = x^0.5
What is the principal square root by simplifying the radical 24?
The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).
What is a square root times a square root?
SQRT(X) * SQRT(X) = X
