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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.
It is x*sqrt(x) or x^(3/2)
Use the power rule: It should equal (sqrt(x))*x^((sqrt(x))-1). You may, however, wish to double check your answer.
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.
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.
To find the fourth root of a number, you can raise the number to the power of ( \frac{1}{4} ). For example, for a number ( x ), the fourth root can be calculated as ( x^{0.25} ) or using a calculator's root function. Alternatively, you can also find the fourth root by calculating the square root of the square root of the number. For instance, ( \sqrt{\sqrt{x}} ) will yield the fourth root of ( x ).
2x2z
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.
It is x1 which is x.
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).
Fourth roots are the inverse operation of raising a number to the fourth power. For a given number, the fourth root is a number that, when raised to the fourth power, equals the original number. For example, the fourth root of 16 is 2, since 2^4 = 16. In mathematical notation, the fourth root of a number x is denoted as √√x or x^(1/4).
The square root of x squared is x, or x to the first 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'.
∛(x4) √(x5) = x4/3x5/2 = x8/6x15/6 = x23/6
The square root of x = x to the power of a half
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.
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.