找到你今天要练的题。

If a and c are positive numbers, which of the following is equivalent to \( \surd (a+c)^{3}\cdot \surd a+c \) ?

If \( \frac{\sqrt{x^{5}}}{\sqrt[3]{x^{4}}}=x^{\frac{a}{b}} \) for all positive values of x , what is the value of \( \frac{a}{b} \) ?

\( \sqrt[5]{70n}(\sqrt[6]{70n})^{2} \) 
For what value of x is the given expression equivalent to (70n)^30x, where n > 1?

\( \frac{14x}{7y}=2\sqrt{w+19} \) 

The given equation relates the distinct positive real numbers w, x, and y. Which equation correctly expresses w in terms of x and y ?

\( \sqrt{2x+6}+4=x+3 \)

What is the solution set of the equation above? 

\( \frac{x^2}{\sqrt{x^2-c^2}}=\frac{c^2}{\sqrt{x^2-c^2}}+39 \) 

In the given equation, c is a positive constant. Which of the following is one of the solutions to the given equation?

\( \sqrt{\left(x-2\right)^2}=\sqrt{3x+34} \) 

What is the smallest solution to the given equation?

x = 49
\( y=\sqrt{x}+9 \) 
The graphs of the given equations intersect at the point (x ,y) in the xy-plane. What is the value of y ?

\( \sqrt{k-x}=58-x \) 
In the given equation, k is a constant. The equation has exactly one real solution. What is the minimum possible value of 4k?

 Which expression is equivalent to \( a^{\frac{11}{12}} \)   , where a > 0 ?

The function f is defined by  f(x) =\( 8\sqrt{x} \). For what value of x does f(x) =48 ?

The function g is defined as g(x) =\( \frac{2x-4}{(x+13)(x-5)} \) , when x=a,the function is undefined where a is a constant, what is the value of a ?