Home
Class 9
MATHS
Show that root(3)(ax^(2)+by^(2)+cz^(2))=...

Show that `root(3)(ax^(2)+by^(2)+cz^(2))=root(3)(a)+root(3)(b)+root(3)(c )` , if `ax^(3)=by^(3)=cz^(3)` and `(1)/(x)+(1)/(y)+(1)/(z)=1` .

Text Solution

Verified by Experts

The correct Answer is:
`root3(a)+root3(b)+root3(c )`
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Integer Numerical value type)|10 Videos

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Subjective problems) (short answer type)|10 Videos

  • LINES AND ANGLES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos

Similar Questions

Explore conceptually related problems

If root(3)(3(root(3)(x)-(1)/(root(3)(x))))=2, then root(3)(x)-(1)/(root(3)(x))

Let x = 2/((sqrt3+1)(root4(3)+1)(root8(3)+1)(root16(3)+1)) . Find (x+1)^(32)

Solve : root(4)(|x-3|^(x+1))=root(3)(|x-3|^(x-2)) .

If f(x)=root(3)((1-x^(2)))+root(3)((1+x^(2))) , then f(x) is :

Solve the equation equation root(3)((2x-1))+root(3)((x-1))=1

If x= ( root(3) (m+1) + root(3) (m-1))/( root(3) (m+1) - root(3) (m-1)) then the value of x^3 - 3mx^2 +3x -m is

int(x+root(3)(x^(2))+root(6)(x))/(x(1+root(3)(x)))dx is equal to (i)(3)/(2)x(1+root(3)(x))(3)/(2)x^((2)/(3))+6tan^(-1)x^(6)+C( iii) (3)/(2)x^((2)/(3))+6tan^(-1)x^((1)/(6))+C( iv) (2)/(3)x^((2)/(3))+5tan^(-1)x^(6)+C