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How do solve a composite function that is a radical inside of a radical?
By radical, I am assuming that you mean square root, not cube root, quartic root, or otherwise. If this is the case, then we can use fractional exponents to help. Change sqrt(x) to x^(1/2), or x to the one half power. Then we take a radical of a radical which becomes sqrt(x^(1/2)) = (x^(1/2))^(1/2) = x^(1/4). When we raise a power to a power, we multiply exponents. So the answer to the square root of the square root of x is x to the one fourth power, or the 4th root of x.
What is the square root of x to the power of 3 equal to?
It is x*sqrt(x) or x^(3/2)
What is derivative of x to the power of square root x?
Use the power rule: It should equal (sqrt(x))*x^((sqrt(x))-1). You may, however, wish to double check your answer.
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 x squared times y to the fourth power times x cubed?
x to the 5th power times y to the fourth power
What is the square root of four x to the fourth z to the second power equal?
2x2z
What is the square root of a fourth root?
A root is like a fractional power. (x^(1/4))^(1/2) You multiply the exponents and get x^(1/8) or eighth root of x.
What is the fourth root of x to the fourth power?
It is x1 which is x.
I have a Math problem that has a square root with a number outside the little check what does that mean?
the square root of x*x is x if there is a 3 then a square root it is acutally cube root. the cube root of x*x*x is x if there is a 4 then a check symbol then that is fourth root. the fourth root of x*x*x*x is x. the square root of 16 is 4(4*4=16). the fourth root of 16 is 2(2*2*2*2=16).
What is the square root of x to the second power?
The square root of x squared is x, or x to the first power.
What is the cube root of x to the fourth power multiplied by the square root of x to the fifth power?
The equation is equivalent to 'x to the power of 4 thirds' times 'x to the power of 2.5'.Multiplyling them together, we simply add the powers, giving 'x to the power of 23/6' or the 'sixth root of x to the power of 23'.
What is the cubic root of x to the fourth power multiplied by the square root of x to the fifth power squared?
∛(x4) √(x5) = x4/3x5/2 = x8/6x15/6 = x23/6
If 5 is the square root of 25 what is the square and what is the square root?
'Squared' & 'Square Root; are the inverse mathemtical functions. 5 (squared) = 25 square root of '25' is 5 Mathematically this would be written as Square ; 5 x 5 = 5^(2) = 25 Square Root ; sqrt(25) = 25^(1/2) = 25^(0.5) = 5 NB THis can be exteneded to 'cubes' and 'cube roots' e.g. 3 x 3 x 3 = 3^(3) = 27 curt(27) = 27^(1/3) = 27^(0.3333.....) - 3 And fourth power and fourth root. e.g. Fourth power ; 2 x 2 x 2 x 2 = 2^(4) = 16 Fourth root = (4th)rt(16) = 16^(1/4) = 16^(0.25) = 2 It can be exteneded to the 'nth power' and the 'nth root'. Where 'n' is any number.
How do you get the derivative of a square root?
The square root of x = x to the power of a half
What is the square root of a square root?
It is called the fourth root, and is denoted x1/4 or x0.25 (as opposed to x1/2 and x0.5 for square roots). It can also be denoted 4√x. A square root of a square root is the fourth root of a number.
What is a square root of a square root?
It is called the fourth root, and is denoted x1/4 or x0.25 (as opposed to x1/2 and x0.5 for square roots). It can also be denoted 4√x. A square root of a square root is the fourth root of a number.
What is the square root of x to the seventeenth power?
The square root of x to the seventeenth power is x to the eighth and a half power. If x is negative, the answer is imaginary.
