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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.
3x^2 = 44 divide both sides by 3; x^2 == 44/3 x = +,- square root of 44/3 write 44 = 4 x 11; x = +,- 2(square root of 11/3) multiply the square root of 11/3 by square root of 3/3; x = +,- (2/3)(square root of 33)
√(3x - 5) = 3 ∴3x - 5 = 9 ∴3x = 14 ∴x = 14/3
Yes, because a monomial is one number. 2 to the power of x is still one number. If you had an example such as 2 to the power of x + 3x+ 5, that would be considered a trinomial.
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√(24x)4/√(3x) = [242x2√(3x)]/3x = 8(24)x√(3x) = 192x√(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.
2 root 3x
No. It is 9x, which is a monomial.
It is: 3x
Find the square root of each of its components, and muliply them together. For example, 36x8 the square root of 36 is 6 the square root of x8 is x4 so the square root of 36x8 is 6x4
No, the index of x must be a non-negative integer.
Say the monomial is 4a squared. To find the square root to must do each part seperately. So square root of 4 is 2 and the square root of a-squared is |a| because we do not know the sign of a. The answer is 2|a|. If there is anything that cannot be "square rooted" then it would stay under a square root sign and just multiply by 2a as well. The principal root of a number is only its positive root (you can understand that you are looking for the principal root from the sign in front of the radical, which is a positive one)
Sqrt(24x4)/Sqrt(3x) = Sqrt(24x4/3x) = Sqrt(8x3) = Sqrt(4x2*2x) = 2x*sqrt(2x)
A monomial is a single termed algebraic expression. A variable can be a monomial, but usually it follows a coefficient. (ex. 3x; 4xyz; 5y2z3)
3x y^3