Mister Exam

Other calculators

Least common denominator sqrt(a)/(4-a)/a^(1/4)/(2-a^(1/2))

An expression to simplify:

The solution

You have entered [src]
//  ___\\
||\/ a ||
||-----||
|\4 - a/|
|-------|
| 4 ___ |
\ \/ a  /
---------
      ___
2 - \/ a 
$$\frac{\frac{\sqrt{a}}{4 - a} \frac{1}{\sqrt[4]{a}}}{2 - \sqrt{a}}$$
((sqrt(a)/(4 - a))/a^(1/4))/(2 - sqrt(a))
General simplification [src]
        4 ___        
        \/ a         
---------------------
         /       ___\
(-4 + a)*\-2 + \/ a /
$$\frac{\sqrt[4]{a}}{\left(\sqrt{a} - 2\right) \left(a - 4\right)}$$
a^(1/4)/((-4 + a)*(-2 + sqrt(a)))
Common denominator [src]
          4 ___          
         -\/ a           
-------------------------
      3/2             ___
-8 - a    + 2*a + 4*\/ a 
$$- \frac{\sqrt[4]{a}}{- a^{\frac{3}{2}} + 4 \sqrt{a} + 2 a - 8}$$
-a^(1/4)/(-8 - a^(3/2) + 2*a + 4*sqrt(a))
Combining rational expressions [src]
       4 ___       
       \/ a        
-------------------
/      ___\        
\2 - \/ a /*(4 - a)
$$\frac{\sqrt[4]{a}}{\left(2 - \sqrt{a}\right) \left(4 - a\right)}$$
a^(1/4)/((2 - sqrt(a))*(4 - a))
Combinatorics [src]
        4 ___        
        \/ a         
---------------------
         /       ___\
(-4 + a)*\-2 + \/ a /
$$\frac{\sqrt[4]{a}}{\left(\sqrt{a} - 2\right) \left(a - 4\right)}$$
a^(1/4)/((-4 + a)*(-2 + sqrt(a)))
Numerical answer [src]
a^0.25/((2.0 - a^0.5)*(4.0 - a))
a^0.25/((2.0 - a^0.5)*(4.0 - a))
Powers [src]
       4 ___       
       \/ a        
-------------------
/      ___\        
\2 - \/ a /*(4 - a)
$$\frac{\sqrt[4]{a}}{\left(2 - \sqrt{a}\right) \left(4 - a\right)}$$
a^(1/4)/((2 - sqrt(a))*(4 - a))
Assemble expression [src]
       4 ___       
       \/ a        
-------------------
/      ___\        
\2 - \/ a /*(4 - a)
$$\frac{\sqrt[4]{a}}{\left(2 - \sqrt{a}\right) \left(4 - a\right)}$$
a^(1/4)/((2 - sqrt(a))*(4 - a))
Rational denominator [src]
 3/4     4 ___
a    + 2*\/ a 
--------------
          2   
  (-4 + a)    
$$\frac{a^{\frac{3}{4}} + 2 \sqrt[4]{a}}{\left(a - 4\right)^{2}}$$
(a^(3/4) + 2*a^(1/4))/(-4 + a)^2
Trigonometric part [src]
       4 ___       
       \/ a        
-------------------
/      ___\        
\2 - \/ a /*(4 - a)
$$\frac{\sqrt[4]{a}}{\left(2 - \sqrt{a}\right) \left(4 - a\right)}$$
a^(1/4)/((2 - sqrt(a))*(4 - a))