Home
Class 8
MATHS
If a, b, c are real numbers, then show t...

If `a, b, c` are real numbers, then show that `root(5)(ab^-1)xxroot( 5)(bc^-1) xxroot( 5)(ca^-1) =1`.

Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 1)|33 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 2)|20 Videos

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Test Your Concepts (Very Short Answer Type Questions)|43 Videos

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 1)|60 Videos

  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL - 3)|9 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are real numbers,then show that root(5)(ab^(-1))xx root(5)(bc^(-1))xx root(5)(ca^(-1))=1

root(5)(16)xxroot(5)(2) is equal t :-

Let a, b and c be positive real numbers. Then prove that tan^(-1) sqrt((a(a + b + c))/(bc)) + tan^(-1) sqrt((b (a + b + c))/(ca)) + tan^(-1) sqrt((c(a + b+ c))/(ab)) = pi

If a,b,c are positive real numbers,then (1)/(log_(a)bc+1)+(1)/(log_(b)ca+1)+(1)/(log_(c)ab+1)=

If a, b, c are positive real numbers, then (1)/("log"_(ab)abc) + (1)/("log"_(bc)abc) + (1)/("log"_(ca)abc) =

If a,b,c are in AP show that (i) 1/(bc) ,1/(ca),1/(ab) are in AP.

If a,b,c are real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab+bc+ca) , than a,b,c are in

If a, b, c are positive real numbers then (1)/("1+log"_(a)bc) + (1)/("1+log"_(b)ca) +(1)/("1+log"_(c)ab)=

If a,b,c are non-zero real number such that |(bc,ca,ab),(ca,ab,bc),(ab,bc,ca)|=0, then

PEARSON IIT JEE FOUNDATION-INDICES-Test Your Concepts (Short Answer Type Questions)
  1. Simplify (5(81)^(n+1)-3^(4n+5))/(3xx3^(4n)+(81)^n).

    Text Solution

    |

  2. (1) If 5^(n+2)=625 ,f i n d[(n+3)]^(1/3): (2) If (32/243)^n=8/27 ,f i...

    Text Solution

    |

  3. If ((32)/(243))^(n)= (8)/(27), then find ((n+0.4)/(1024))^(-n)

    Text Solution

    |

  4. simplify (2^(2/3)-2^(- 2/3))(2^(4/3)+1+2^(- 4/3))

    Text Solution

    |

  5. (i) Simplify (2^(2/3)-2^((-2)/3))(2^(4/3)+1+2^((-4)/3)) (ii) [(root(...

    Text Solution

    |

  6. If 16200=2^(a)xx3^(b)xx^(c), then find a, b, c.

    Text Solution

    |

  7. Simplify ((p^(a))/(p^(b))) xx ((p^(b))/(p^(c ))) xx ((p^(c ))/(p^(a)))...

    Text Solution

    |

  8. If [root(9)((2/3)^5)]^(sqrt(x-5)) = a^0, find the value of x.

    Text Solution

    |

  9. Simplify ((p^(a+b))^(5).(p^(b+c))^(5).(p^(c+a))^(5))/((p^(a). p^(b). p...

    Text Solution

    |

  10. If 5^(3x+2)=25xx5^((4x-1)), find the value of x.

    Text Solution

    |

  11. Which of the following is greater between each of the two numbers ? ...

    Text Solution

    |

  12. Which of the following is greater between each of the two numbers ? ...

    Text Solution

    |

  13. Which of the following is greater between each of the two numbers ? ...

    Text Solution

    |

  14. If 5^x=3^y=45^z, prove that 1/z=1/x+2/y.

    Text Solution

    |

  15. Prove that 1/(1+p+q^(- 1))+1/(1+q+r^(- 1))+1/(1+r+p^(- 1))=1,if pqr=1 ...

    Text Solution

    |

  16. ((a+b+c)^(a+b)(a+b+c)^(b+c)(a+b+c)^(c+a))/([(a+b+c)^(a) (a+b+c)^(b) (a...

    Text Solution

    |

  17. Simplify the given expressions (a^(p+q))^(p-q) (a^(q+r))^(q-r) (a^(r...

    Text Solution

    |

  18. [(a/b)^(sqrt(p)+sqrt(q))]^(sqrtp-sqrtq)[(a/b)^(sqrt(q)+sqrt(r))]^(sqrt...

    Text Solution

    |

  19. Prove that ((x^(-1)+y^(-1))/x^(-1))^(-1)+((x^(-1)-y^(-1))/x^(-1))^(...

    Text Solution

    |

  20. If a, b, c are real numbers, then show that root(5)(ab^-1)xxroot( 5)...

    Text Solution

    |