Mister Exam

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Least common denominator:
(z^5-5*z^3+10*z-1/10*z+1/5*z^3-1/z^5)*(z^3-3*z+1/3*z-1/z^3)
sqrt(sqrt(m)-sqrt((m^2-9)/m))*sqrt(sqrt(m)+sqrt((m^2-9)/m))
factorial(5)/(m*(m+1))*factorial(m+1)/factorial(m-1)
((a*sqrt(a)+b*sqrt(b))/(sqrt(a)+sqrt(b))-sqrt(a*b))*((sqrt(a)+sqrt(b))/(a-b))^2
Factor polynomial:
x^4-5*x^3+6*x^2-10*x+8
t^4/4+4*t^3/3
2*x^3+3*x^2+3*x+1
x^2-81
Factor squared:
y^4+y^2+9
-y^4-y^2+8
-y^2-4*y-3
x^2-x*a+4*a^2
How do you in partial fractions?:
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
((x*x-11*x+30)/(x*x-9*x+20))/((x*x-36)/(x*x-16))
((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)
(4x^2-3x+1)/(x^4+x^2)
Identical expressions
sqrt(sqrt(m)-sqrt((m^ two - nine)/m))*sqrt(sqrt(m)+sqrt((m^ two - nine)/m))
square root of ( square root of (m) minus square root of ((m squared minus 9) divide by m)) multiply by square root of ( square root of (m) plus square root of ((m squared minus 9) divide by m))
square root of ( square root of (m) minus square root of ((m to the power of two minus nine) divide by m)) multiply by square root of ( square root of (m) plus square root of ((m to the power of two minus nine) divide by m))
√(√(m)-√((m^2-9)/m))*√(√(m)+√((m^2-9)/m))
sqrt(sqrt(m)-sqrt((m2-9)/m))*sqrt(sqrt(m)+sqrt((m2-9)/m))
sqrtsqrtm-sqrtm2-9/m*sqrtsqrtm+sqrtm2-9/m
sqrt(sqrt(m)-sqrt((m²-9)/m))*sqrt(sqrt(m)+sqrt((m²-9)/m))
sqrt(sqrt(m)-sqrt((m to the power of 2-9)/m))*sqrt(sqrt(m)+sqrt((m to the power of 2-9)/m))
sqrt(sqrt(m)-sqrt((m^2-9)/m))sqrt(sqrt(m)+sqrt((m^2-9)/m))
sqrt(sqrt(m)-sqrt((m2-9)/m))sqrt(sqrt(m)+sqrt((m2-9)/m))
sqrtsqrtm-sqrtm2-9/msqrtsqrtm+sqrtm2-9/m
sqrtsqrtm-sqrtm^2-9/msqrtsqrtm+sqrtm^2-9/m
sqrt(sqrt(m)-sqrt((m^2-9) divide by m))*sqrt(sqrt(m)+sqrt((m^2-9) divide by m))
Similar expressions
sqrt(sqrt(m)-sqrt((m^2-9)/m))*sqrt(sqrt(m)+sqrt((m^2+9)/m))
sqrt(sqrt(m)-sqrt((m^2+9)/m))*sqrt(sqrt(m)+sqrt((m^2-9)/m))
sqrt(sqrt(m)+sqrt((m^2-9)/m))*sqrt(sqrt(m)+sqrt((m^2-9)/m))
sqrt(sqrt(m)-sqrt((m^2-9)/m))*sqrt(sqrt(m)-sqrt((m^2-9)/m))

Expression simplification/ Least common denominator/ sqrt(sqrt(m)-sqrt((m^2-9)/m))*sqrt(sqrt(m)+sqrt((m^2-9)/m))

Least common denominator sqrt(sqrt(m)-sqrt((m^2-9)/m))*sqrt(sqrt(m)+sqrt((m^2-9)/m))

The solution

You have entered [src]

      _______________________       _______________________
     /              ________       /              ________ 
    /              /  2           /              /  2      
   /     ___      /  m  - 9      /     ___      /  m  - 9  
  /    \/ m  -   /   ------  *  /    \/ m  +   /   ------  
\/             \/      m      \/             \/      m

$$\sqrt{\sqrt{m} - \sqrt{\frac{m^{2} - 9}{m}}} \sqrt{\sqrt{m} + \sqrt{\frac{m^{2} - 9}{m}}}$$

sqrt(sqrt(m) - sqrt((m^2 - 9)/m))*sqrt(sqrt(m) + sqrt((m^2 - 9)/m))

General simplification [src]

     _____________________      _____________________
    /             _______      /             _______ 
   /    ___      /     9      /    ___      /     9  
  /   \/ m  +   /  m - -  *  /   \/ m  -   /  m - -  
\/            \/       m   \/            \/       m

$$\sqrt{\sqrt{m} - \sqrt{m - \frac{9}{m}}} \sqrt{\sqrt{m} + \sqrt{m - \frac{9}{m}}}$$

sqrt(sqrt(m) + sqrt(m - 9/m))*sqrt(sqrt(m) - sqrt(m - 9/m))

Numerical answer [src]

(m^0.5 + ((-9.0 + m^2)/m)^0.5)^0.5*(m^0.5 - ((-9.0 + m^2)/m)^0.5)^0.5

(m^0.5 + ((-9.0 + m^2)/m)^0.5)^0.5*(m^0.5 - ((-9.0 + m^2)/m)^0.5)^0.5

Common denominator [src]

     _____________________      _____________________
    /             _______      /             _______ 
   /    ___      /     9      /    ___      /     9  
  /   \/ m  +   /  m - -  *  /   \/ m  -   /  m - -  
\/            \/       m   \/            \/       m

$$\sqrt{\sqrt{m} - \sqrt{m - \frac{9}{m}}} \sqrt{\sqrt{m} + \sqrt{m - \frac{9}{m}}}$$

sqrt(sqrt(m) + sqrt(m - 9/m))*sqrt(sqrt(m) - sqrt(m - 9/m))

Expand expression [src]

     _____________________________      _____________________________
    /             ___    ________      /             ___    ________ 
   /    ___      / 1    /  2          /    ___      / 1    /  2      
  /   \/ m  +   /  - *\/  m  - 9  *  /   \/ m  -   /  - *\/  m  - 9  
\/            \/   m               \/            \/   m

$$\sqrt{\sqrt{m} - \sqrt{m^{2} - 9} \sqrt{\frac{1}{m}}} \sqrt{\sqrt{m} + \sqrt{m^{2} - 9} \sqrt{\frac{1}{m}}}$$

sqrt(sqrt(m) + sqrt(1/m)*sqrt(m^2 - 9))*sqrt(sqrt(m) - sqrt(1/m)*sqrt(m^2 - 9))

Combinatorics [src]

     _____________________      _____________________
    /             _______      /             _______ 
   /    ___      /     9      /    ___      /     9  
  /   \/ m  +   /  m - -  *  /   \/ m  -   /  m - -  
\/            \/       m   \/            \/       m

$$\sqrt{\sqrt{m} - \sqrt{m - \frac{9}{m}}} \sqrt{\sqrt{m} + \sqrt{m - \frac{9}{m}}}$$

sqrt(sqrt(m) + sqrt(m - 9/m))*sqrt(sqrt(m) - sqrt(m - 9/m))

Rational denominator [src]

     _____________________      _____________________
    /             _______      /             _______ 
   /    ___      /     9      /    ___      /     9  
  /   \/ m  +   /  m - -  *  /   \/ m  -   /  m - -  
\/            \/       m   \/            \/       m

$$\sqrt{\sqrt{m} - \sqrt{m - \frac{9}{m}}} \sqrt{\sqrt{m} + \sqrt{m - \frac{9}{m}}}$$

sqrt(sqrt(m) + sqrt(m - 9/m))*sqrt(sqrt(m) - sqrt(m - 9/m))

Powers [src]

      ___________________________________________________
     / /             _________\ /             _________\ 
    /  |            /       2 | |            /       2 | 
   /   |  ___      /  -9 + m  | |  ___      /  -9 + m  | 
  /    |\/ m  +   /   ------- |*|\/ m  -   /   ------- | 
\/     \        \/       m    / \        \/       m    /

$$\sqrt{\left(\sqrt{m} - \sqrt{\frac{m^{2} - 9}{m}}\right) \left(\sqrt{m} + \sqrt{\frac{m^{2} - 9}{m}}\right)}$$

sqrt((sqrt(m) + sqrt((-9 + m^2)/m))*(sqrt(m) - sqrt((-9 + m^2)/m)))

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Identical expressions

Similar expressions

Least common denominator sqrt(sqrt(m)-sqrt((m^2-9)/m))*sqrt(sqrt(m)+sqrt((m^2-9)/m))

The solution